Hi guys....left my back trunk open over night and since there was a light in the trunk was worried the car won't start. Started up fine.

Does it have a shut-off period for the power even if you leave interior lights/headlights on?

My Jeep did if i left an interior light on...it shut-off the power after the car was off after 15-20 mins.

Yes.

Yes, I think the parking lights turn off after 5-10 min and the other turn off a little later.

The map lights do not turn off, I have had mine on overnight before.