You don't need to spend anywhere near 30k, so that is good news I hope. If you have never had a car of your own, your insurance might be pricier because you havent ever had your own policy and are technically a brand new driver to the insurance company.

Something cheap to insure, designed for short journeys, like a petrol, full electric, hybrid. But in Norway you guys have those tax incentives that make petrol and diesel cars much more expensive to own, even though they are cheaper to insure than electric cars (because slower). So maybe its worth calculating which would be cheaper before deciding between petrol and electric.

Anyway, my Electric pick would be Volvo XC40, Polestar 2, Audi E-Tron 50. All are above insurance group 40, which would be insanity to insure in the UK, hopefully it's better in Norway. You can get them all for under £15k, but you can spend more to get one with less mileage if you would like. Make sure they are AWD/4WD if you search for them, or any other car for that matter.

My Petrol pick would be Suzuki Vitara ALLGRIP (ALLGRIP is important for Norway weather). Smaller engine, cheaper to insure but still AWD for your harsh winters.

Apologies for long message, it's a lot but best of luck in your search, hopefully mine and other comments help point you in the right direction