DVLA has suspended my driving licence - is my car insurance still valid?

My son is a named driver on my car insurance policy, but the DVLA has stopped my driving licence as I had a medical problem following an accident. Is my car insurance still valid?

Why has my car insurance increased so much this year?

To insure our Fiat 500C last year was £209 but this year the lowest quote anywhere is £354. That's with no changes or claims. Please can you explain this 70% increase?

Will my no-claims bonus expire?

Can a no-claims bonus run out? I sold my car 18 months ago and I'm still waiting for its replacement to arrive. What will happen if I don't take out a new policy in the next 12 months?

Does my Abarth 500 have an alarm?

Having recently bought an Abarth 500, we went on a ferry and I decided to turn off the motion alarm to stop the alarm going off. I could not find any reference to alarms/immobilisors in the handbook. Question...