1) I think it's the temps. Check again in a week or so. If you found the queen, then at least you know you're queenright. Give her some time.
2) I would feed so long as they take it. Yes, they'll backfill but when the queen gets going, they'll use it quicker for food.
3) If there's pollen coming in, I would skip the patty. It won't hurt though. Should be plenty of pollen right now so long as the bees can fly.
4) (I know you didn't have a "4" but...) have a drink anyway!
"My wife always wanted girls. Just not thousands and thousands of them......"