Every birth is different, every body is different. You can't know what will happen until the baby comes, but it probably would be wise to have some kind of backup plan just in case. And definitely don't let them induce you just because its your due date. Wait as long as they will let you.
I was 11 days over with both of mine. It wasn't whether my body was healed with the first one, but there were some issues with feeding, and sleep, and I was a complete zombie person for about three months after my first. Perfect pregnancy, I was in perfect health. I had no reason to think there would be any particular issues. You just don't know how things will go.
Do you have any family or friends nearby OP? Could you 'book' a mother or mother-in-law, or friend for the day or couple of days before the wedding to help with the baby while you do cake? You might be able to express so someone else can do some feeds, or they can rock the baby and change nappies etc. If you let someone know early, they might be able to help you out.