1) If you are satisfied with the surface, no need to sand between coats.
2) Do the caulking after the prime coat, and be sure to give it 24 hours to dry. Paint can check on new caulk if it is not totally dry. After you lay out the caulk, wipe with a damp, lint-free cloth. That is how you give it a smooth finish.
3) It is fine to get paint from the trim on the walls (in fact, some overlap is preferable) so long as you brush it out until it is smooth. You do not want it to dry with ridges or texture.
Sounds like you are on the right track. Good luck.
2) Do the caulking after the prime coat, and be sure to give it 24 hours to dry. Paint can check on new caulk if it is not totally dry. After you lay out the caulk, wipe with a damp, lint-free cloth. That is how you give it a smooth finish.
3) It is fine to get paint from the trim on the walls (in fact, some overlap is preferable) so long as you brush it out until it is smooth. You do not want it to dry with ridges or texture.
Sounds like you are on the right track. Good luck.