Sorry, this made me grit my teeth. You're well-intentioned, for sure, but you need advice from a detailer and a coachworks.
Advice and quotes are free. I can't really see what's going on with the micro blistering from these photos, but I'm wondering if a detailer could transform the look of the car without applying paint and lacquer.
Even advice from someone who owns and maintains older cars in your network would be a good start.
We used to throw paint and lacquers at cars "in the good old days" thanks to the local "motor factor" but the standard of finish has risen massively since then, you run a risk of taking a car in rough condition and making it look much worse.
As Doodle has already said, the cosmetics are the least of your worries. First focus must be the mechanicals to make the car drive safely. A car which breaks down but looks OK will only frustrate you.
Personally, from what you've shown, which isn't reliable from the photos, I'd be very surprised if your local detailer couldn't transform the look of the car within a day, at a modest cost, leaving you to focus on getting the mechanicals right.
I know you said that Mum's been driving it, but that tells us nothing about whether the car's been serviced, whether the fluids are in good order, and whether the engine, drivetrain, electrics, brakes, wheels and tyres are in good order.
Here's the world of detailers and their projects:
https://www.detailingworld.co.uk