We love your kids - we really do! But we want our wedding to be your night off. If your invitation includes your child's name or is addressed to your family, then yes. If not, we'd prefer it was just you.
If your invitation says “and Guest,” then yes, if not, we would prefer that it was just you.
Cocktail, please. But we want you to feel comfortable, so if those shoes are too high or that top button is too tight, let it all hang loose.