Arnie,
I trouble shoot DC systems a lot (did more before the depression) and I can tell you explicitly that you have several bad grounds. So, start there and when you get the lights to isolate (on the light you turn on, comes on). Then if you have strange things happening, start looking at the supply side.
This is going to take you some time and thinking. For starters, that interior light that brings up the running light probably does have a bad ground and it is sort of common with the running light's ground.
This will be worth the effort in the end as you are going to fix a number problems you did not new you had.
Matt