Yes the do

They will make anything you want

Oil I Dokki has best Korean restaurant in local area

Far as I know they're only open for lunch. At least that is what my husband tells me, and he is a faithful customer there.

Yes they have Veggi Bibimbap and pretty sure they have Rice Cakes as well. If not Mommasan is so accommodating I bet she would make it up for you. My husband says it's not big but very comfortable and welcoming.