The main points from the Scottish government's coronavirus briefing:

• Nicola Sturgeon sees a "wee ray of sunshine" as figures head in right direction with the case positivity rate down to 4%, the R rate dipping below 1 and hospital admissions dropping below the peak of last spring.

• Wednesday was another record day in Scotland for vaccines and the first minister praised the "heroic effort" made to get to vaccination centres in severe weather

• 23% of the Scottish population is now vaccinated, with more than one million first dose jabs administered.

• Ms Sturgeon urged caution over foreign holidays and said UK and Scottish breaks could not be guaranteed either.

• Sturgeon says UK borders are still "too leaky" as new quarantine rules are due to start on Monday
• Two important updates have been made to Protect Scotland app

That's all from the live page today. Please take care and stay safe.

Paul Martin from the Express asks if Andy Murray should be used to promote vaccine uptake, as the NHS advert using Michael Caine and Sir Elton John has been such a success.

The first minister says Andy is one of the people she would want to be a vaccine ambassador.

However she points out right now people don't need any encouragement to get a vaccine.

There's not really a problem right now with uptake, she says.

Dr Steedman says that Andy might be a bit young and they should maybe ask his mum.

Michael Blackley from the Daily Mail also asks if families should not be booking summer holidays in the UK or abroad.

"Right now, today, I would say to people not to book foreign holidays, not to book travel overseas," says the first minister.

"Just be cautious about booking holidays, even domestically."

Dr Steedman says her travel advice is if you are booking anything, even in the UK, make sure there is a refund clause on it as it may need to be cancelled.

Chris Musson from the Sun asks about holidays this summer, including staycations in Scotland.

The first minister replies that she does not know for certain if this summer she will be saying people can go on holiday in Scotland or the UK.

"I'm pretty certain I'll be saying don't go overseas," she says.

Speaking for the Scottish Conservatives, Douglas Ross tells the BBC's update programme he believes that extra measures should be considered to get education back on track.

Ideas have been put forward for extra hours added to the school day and summer schools to bring pupils up to speed.

Mr Ross says all ideas should be looked at.

Craig Paton from PA refers to evidence given by BEMIS this morning at Holyrood.

Appearing at Holyrood's Covid-19 Committee, Danny Boyle from the organisation BEMIS, warned that more needs to be done to encourage some ethnic minority groups to engage with the vaccine programme.

Mr Paton says Mr Boyle said there might be issues among asylum seekers wary of government correspondence and among Eastern Europeans who may have an anti-vaccine stance.

The first minister says she will ask officials to engage with Mr Boyle on this issue.

However, overall there is a lot to be positive about in terms of vaccination uptake, she says.

Dr Steedman explains all information on vaccination has been produced in multiple languages and government is engaging with community leaders.

Lib Dem leader Willie Rennie says tells the BBC One programme the vaccine programme is "still behind England" but admits it is picking up pace.

He says it is "concerning" that vaccine supplies are due to dip because of issues with the manufacturers.

He says that he understands why it is happening but is not happy.

He goes on to say he is concerned by the "quite large" number of people who are exempt from the new quarantine arrangements.

Back to the briefing, Peter MacMahon from ITV raises concerns about the impact of lockdown on young carers in rural areas.

The first minister pledges to talk to her government about what more can be done to help young carers.

Ms Sturgeon says she is not sure we can ever do enough to help young carers.

Dr Steedman says young carers should be prioritised for the vaccine and the government really values this young population.

On the BBC One programme, infectious diseases expert Dr Antonia Ho gives her reaction to the latest daily case figures.

She says that there is cause for cautious optimism and that lockdown is working.

On the subject of easing lockdown, she says that we have learned a lot and rather than opening and closing we need to take a more cautious approach.

She says the community levels of infection should be really low so that test and trace operations can work efficiently.

Image source, Getty Images

Dr Nicola Steedman argues there is published evidence that shows the first and second waves of Covid had multiple infections coming in to Scotland from abroad and from the UK common travel area.

• Covid in Scotland: Second wave reignited by summer holidays

The deputy chief medical officer warns it would be very unwise to ignore this.

If we allow lots of other infections to come into Scotland it will just lead to an increase in community transmission here, says Dr Steedman.

Image source, Getty Images

Andrew Anderson from the BBC asks if there are continued discussions with the UK government on Scotland having stricter "managed quarantine" rules.

Mr Anderson also asks if the first minister is considering border checks on travellers entering UK through England and then coming to Scotland.

The first minister argues Scotland's approach is more in line with scientific advice, with everyone coming here directly from overseas having to quarantine in a hotel for 10 days.

Ms Sturgeon says she has raised again concerns about UK borders still being a "bit too leaky".

Discussions are still under way on how to deal with people flying into Heathrow and then coming to Scotland, she explains.

Image source, Getty Images

If you are having any issues about getting the vaccine:

• The information to rebook should be on the vaccination letter people received or can be found at NHS Inform, external.
• If you haven't received an expected appointment you can call the helpline: 0800 030 8013.
• As a last resort, Nicola Sturgeon has reiterated you could e-mail her team at firstminister@gov.scot.

The first minister has stressed no-one will miss out on getting the vaccine due to missing an appointment due to severe weather.

Louise Scott from STV says she is still hearing from over-70s who have not received their appointment yet.

The first minister insists in terms of the vaccination targets: "We are firmly on track to do this."

The target for giving the first dose of the vaccine to all people aged 70 and over is Monday 15 February.

The latest daily stats show:

• 87% of 75 to 79 year olds living in the community have been given the first dose
• 54% of 70 to 74 year olds

The first minister warns against any complacency and calls on everyone to follow the guidelines, restrictions and, of course, FACTS.

Here's a wee reminder:

1. Scottish government: Coronavirus (COVID-19): what you can and cannot do, external

From Tuesday 5 January, mainland Scotland moved from Level 4 to a temporary lockdown, with new guidance to stay at home, external except for essential purposes.

• read a quick guide to what you can and cannot do: stay at home infographic, external

2. Postcode checker, external for COVID restrictions by protection level in areas of Scotland

3. NHS Inform, external

The latest from NHS Scotland and the Scottish government, including social distancing, face covering and stay at home advice.

4. Test and Protect, external

If you have Covid-19 symptoms go immediately to NHS Inform online or phone 0800 028 2816 to book a test

The latest from NHS Scotland and the Scottish government, including social distancing, face covering and stay at home advice.

Image source, Scottish government

Image source, Scottish government

Finally, the first minister turns to improvements in the Protect Scotland App, external.

There are now two important improvements to the app, which are operational from today:

1. if you are told to self isolate through the app, you can download a certificate on your phone to secure support
2. Apple has now made changes which mean that if you have an iPhone 5S or an iPhone 6, the app will work

The app has already been downloaded 1.8 million times. But she says she wants to increase its use still further.

"So for those of you who have the app already, please check in your play store or app store that it is up to date," Ms Sturgeon says.

On vaccinations, the first minister says: "Importantly, we remain on course to meet the key targets we have set out."

She still anticipates everyone over the age of 50 will have received their first dose by early May.

So any reduction in appointments in the next few weeks needs to be seen in that context, Ms Sturgeon adds.

By Sunday, the Scottish government expects to have given the first dose to 75,000 more people, than it originally anticipated in its deployment plan.

However, it has received slightly lower stocks of the vaccine than expected, due to a temporary reduction in Pfizer’s manufacturing capacity.

There will be a need to reduce the number of appointments that we schedule over the next few weeks, says the first minister.

"However if vaccine supplies increase again more quickly than we expect, we will be able to rapidly accelerate the programme once again," she says.