Should I use caulk with a T-style door holder?

Good recommendations thus far. Although for a door latch like you’re replacing, I probably would just use whatever I had around the house for caulking or gasket maker.
Butyl is pretty much dummy proof and also seals the best.
I wouldn’t get hung up on having to have it though. I don’t believe I’ve seen it used under door latches on the campers I’ve had.