For temp gauge remove the wire from the sender put a test light or globe one side to earth the other side to the sender wire, watch the gauge. if the gauge reads a value replace the sender.
If it still does not work do the same test at the back of the gauge if the gauge now reads check the wiring. if it still does not work the gauge is faulty.
With a test light check that there is power at the light where the wire plugs in. there should be power there all the time, the light operates by door switch's earthing and completing the circuit. KE30 interior lights have a bad habit of loosing contact between the rivets and the strip that leads to the globe holders the easiest way is to undo the whole light assembly and replace with one from a wreck.