Ok this may sound silly...but does the Zenith have a swimming pool? I did not see one on the Celebrity virtual tour.
Actually, two of them, both located amidships on the Marina Deck, and clearly labeled on the deck plan
on Ceelbrity's web site.
Also, we are considering a trip to Bermuda and the ship will be docked for five days. Do they normally have the usual shows on board each evening when a ship is docked?
They usually do, unless the port's local laws forbid it. Some cruise liens even hire local entertainers to come aboard and perform the show if the ship is in port sufficiently late, but I don't know whether Celebrity follows this practice or not.