[ricksza]

If the radio shuts off as soon as the vehicle is turned off, first thing I would check is the front door switches. You have a jamb switch and also a switch in the latch assembly which causes the lights to come on when you lift the door handle. spraying the switch won't help. It's enclosed. You have to disconnect each of the four switches one at a time to determine which switch is the cause.

As for the dome light coming on, the same switch may be causing that or could be one of the rear door switches or liftglass switch.