Do they have other menu aside from the buffet?

Yes. Not buffet. You chose items on menu. You can eat as much as you want.

Yes

It's all you can eat, but not a buffet. They bring the food out to you to cook. They do have a menu of traditional korean dishes as well.

Yes. The menu offers non-all you can eat option.

Yes, you can order from their regular menu. They have a lot of options that are not part of the buffet.

Yes they do have a regular menu