Check development because she'll be laying like a train for a few weeks more, and they may want to swarm again. Upgrade to a full hive if you have one. If not, take out of the nuc a couple of frames of sealed brood, shake off the bees, and give the combs to the Q- colony. In exchange, give foundation to keep them busy.
Yes. Look quietly and without too much smoke and if in doubt, either leave another week or put in a frame of eggs & larvae from the old queen nuc, or both.
No time to put your feet up, though, because you have all those super frames to make.