ok so now im thinking chef kang is a big fan of moo-yi. putting mooyi's manager's mother in vvip room is such a big deal. whether he goes overboard being a fan crossing over to stalker levels remain to be seen, but for sure he isn't one of the two guys (one of which has an ankle tattoo) the girl stalker saw when she trespassed into moo-yi's apartment. those guys spoke like thugs. but he could have something to do with them still-- be actually in charge of the whole free lunchbox for mooyi operation.
with regards to him being a fan, methinks moo-yi had the same effect on him as yoo-il does to moo-yi. he's probably inspired by moo-yi at some point in his life, and is trying to repay him somehow, though just not in a rational way.
as for yoo-il, chef probably thought to force her away from moo-yi if he thought her a danger to him, hence the pretense of trying to pursue her. but as she seems to be harmless, and because moo-yi and yoo-il are really trying to stay connected, he's backed off for now. or might have gained better opinion of yoo-il. who knows haha