Yes! But you must RSVP for them or let us know somehow, otherwise they will not be expected and thus aren't invited. This refers to minor children only--if your children are adults they need to have received their own invitation to be invited.
The reception will be set in a heated, walled in tent. All food, drink, dinner, and dancing will be located inside the tent! The ceremony itself will ideally still be held outside, but the "Lath House" is built into a hillside and somewhat sheltered by a sort-of ceiling with grapevines up above, so it hopefully shouldn't be much to bear for the short period we're out there :)