Her jumping the gun again because she keeps forgetting that MC's common sense is way different from her own. A bit frustrating but at least it'll be a good laugh when they find out its not a marriage to rule just more of a military thing.
It wasn't just her jumping the gun, the twins also misinterpreted it as being having children with Alan. Pretty sure it is just the way Alan has communication problems.
It's already been skipping a lot of the cooking segments. But if it follows the webnovel, there aren't any major time skips. They skip travel time here and there, and I think a few weeks get skipped as their guild hall is set up. But nothing like a year or more.