fat bobs

I think the use of the font for "Fat Bobs" works well. Big fat letters for Fat Bob : ). I would look at other "fat" fonts though, there may be one out there that would look better than this one. The other font is simple and clean, so that works.

I don't think these colors are bad. But, I do think that a different color combination might work better.

There does seem to be small red dots throughout the black and yellow? That might be from it being scanned or maybe my eyes are just tired. Something to check on in case you use this for print.

I would either get rid of the white highlights on the fat bob letters or exaggerate what is there. Right now they are just small/unreadable enough to be distracting.

Other than that- it's simple and gets the point across. I think it will work.

I hate the name, but nothing you can do about it. Fat + fast food not a good combination.

I think you should try to divert the attention away from the word FAT in your design. Or if you have to use a cute fat chef character so we know clearly it's not about the food that's fat, but the chef who can't stop eating his own food.

BOTW said it, not much you can do with that name.
Color scheme is a bit off but maybe they will work in a neon sign, I would try some stronger contrasting colors that work harmoniously