Mr. Doug, sounds like emergency queen cells, that is determined by queen cells in the middle of the frame. Could be a supersedure as well. Either way, appears to me, the queen is absent and the bees are making a new queen. I wonder about the fella that sold you the nuc???????
Apparently you know what to look for, so I would say your bees will be OK. Look for eggs about the 21 of July, 3 weeks. Now the 21 is not written in stone, this is an approximation as well could be 4 weeks.
I would look at the capped queen cell in about 8 more days, July 10th,the bottom of the cell should be open, the remaining queen cell should be open from the side. Now I don?t know how long the queen cell has been capped so the dates I give you are guesses????
Best of luck to you Mr. Doug, keep us informed, the folks here just want to help and there are some real masters of beekeeping on this board, from the USA all the way to Australia we have some impressive beeks, much better than yours truly.
Blessings