the window operation when you open the door and the dome light are a related problem. how does the car know when the door is open to drop the window slightly? the dome light on/off with the door open? the door switch. figure out which one is bad (or out of adjustment, maybe the metal around it or on the door is bent) and replace it.
if the switches are good, then you should move back a little bit to the door wiring, the connector that joins the door to the body.