ya that looks to be part of the door its self, not anything to do with the hinges. I didn't see any parts diagrams offering door trim so it must come as a whole new door. I see they are around 300 bucks.
I would try build it up with epoxy, I wouldn't worry about the Vaseline as the part under the door bracket where the frame is broken away is a plastic bushing that the bolt slides into (double check that's is what it is though) clean the area up good with 99% Isopropyl Alcohol, brace the door in the closed position really good, and then use a good mouldable epoxy to rebuild the part that broke off. if the plastic sleeve is missing off the bottom part of the hinge pin then maybe put a piece of masking tape around it. I hate using stuff like Vaseline as you are going to be playing with it like puddy and you get the Vaseline in one wrong spot and it is not going to be as strong as it should be.