I don't know if this is the right thing to do, and others will chime in if I'm wrong, but if you were to remove the two wires from the door jamb switch and then touch the ends together, shouldn't this complete the circuit and turn on the lights? That's what I would do. If the lights don't come on, then there's a problem with the wiring either going to the switch, or after the switch. You can check the wire coming into the switch with a test light and the door open. If the test light comes on, then power is getting to the switch. It's all a matter of checking and testing.