Compound or caulk?

I’m about to cut in the edges with paint, but it doesn’t feel right to cover these cracks up (if that’s even possible with paint). 1st picture is where the ac unit vents from, 2nd is wall/ceiling, and 3rd is above the door frame.

Caulk feels like the right answer here since we live in Florida and humidity/temp changes might crack the compound, and especially for the vent wall. I’ve added a 4th picture of the types of caulk that we have. I