The problem with his hat is, he'll be needing it for that song where they all wear daggy normal clothes, whatever it is.
But he's in a Cold War with Kame, remember, so obviously he can't walk up and pick it off the table because they probably took out a restraining order against each other or something, considering how carefully far away they stay from each other, even though Kame goes and indecently assaults every other member.
So poor Jin is in a bind, because he needs his hat but can't get within 5 metres of Kame, and all he can do is stare intently at it in the hopes it will levitate towards him.
How Jin's hat came to be by Kame's elbow is completely a mystery, of course. It probably grew legs and walked there. I mean, why would two people who have not talked in 4 years put their things near each other, especially when they're sitting on the opposite ends of the table? It's illogical, it's irrational, and therefore against the laws of science and so magic must be involved.
The theory (not mine) is Jin was probably originally sitting on Kame's left side, and the photographer made him move just to shoot the picture. This would explain why Jin's the only one not actually doing anything at the makeup tables since he's not actually sitting with his stuff. Although it brings up the question why Kame's mirror is so close to the one on his left side.
I hail the person who picked the hat. I don't know who it is, unfortunately. I swear AKFs should all go become detectives Orz