To clear the air, it's part of the acting at vaseline event. Kim was just teasing Mark and Mark reacted accordingly just for the event.
Second, I don't think Kim deliberately stayed away from James or Mark was so jealous of Kim walking with another man. There was this video on youtube Yaya was teasing Mark when Kim walked down with James during rehearsal. Mark seems quite okay with it so I have no doubt this man has a big heart.
It is just a natural closeness for a newly couple and forget about the world surrounding them. Well I will stop talking about MK here since this is not their forum like Peace said.
What I want to say is I wish Ch3 or P'Anne to plan many events for Kimja. It seems there was only a runaway walk and an autograph session with Kimja outside filming (correct me if I am wrong!). I want more of them and it is a responsibility of Ch3 or P'Anne to pair them up outside the filming schedule. They both are weak in promoting these two, perhaps thinking that's not necessary since Kimja fever is high enough to hail the viewer rating.