There are both vegetarian (for example onion-based) and meat-based okonomiyaki in the menu. Beware of eggs though, i believe they have one in the dough. There is an English menu with ingredients list, just look carefully through it

Yes, and the staff are patient when working with English speakers.

Hello, no it's not intended to be but maybe you can ask the staff if it's possible.

Yes, just tell them about your dietary restriction and they bring the right ingredients

Okonomyaki + beer (2 pers.): 2600 yen

I do not understand. Please contact directly to the shop.

No, they aren't.