dont worry ill take you there, get it first..
and baked paint is : car is heated to a certain temperature before paint is applied and after applying the paint is baked again in the booth or chamber and advantages of bake paint are applying paint without dust free environment and ofcourse the shine and disadvantages include high COST
another thing temp must be kept to a certain level in baked paint otherwise rubber material in car could get damaged but in your case only a door so wouldnt harm it i guess, it can be taken off and baked seperately but i know you wouldnt take that option as it costs alot! We'll try compounding it and see if those scratches hide to some extent or not