I am new to beekeeping and installed my first nuc last weekend. I have been concerned about mites so I opened the hive up this morning for the first proper inspection.

The Good:
I saw eggs, larvae, and capped brood
I saw lots of bees; certainly more than I installed
I saw comb being drawn out on the new frames/foundation

The Bad:
I did not see my marked queen (which I did see during the installation)
I saw 2 capped queen cells

I'm not really sure how to proceed. Do I reenter the hive, find the marked queen, and destroy the capped queen cells? If I absolutely cannot find the marked queen, I suppose I'll contact the nuc supplier about getting another queen. Any advice for a beginner?