My radio won’t turn off when I open the door and my dome lights won’t come on.

Hello, sounds like a door ajar switch has failed to recognize the opening of your door. I would guess it's at least your driver's door switch since you've noticed the concern with that door based on your question. Check the switch on this door and the circuit. The switch may be sticking and may require lubrication to free it up, or it may need to be replaced.

Try another door - should be same as a functional drivers door - Post results.