I returned from a 7 night on the Conquest in late Sept. There is no smoking in staterooms, and I don't think you can in the dining rooms either, but all over the decks, lounges, by pools is ok.
A swimsuit with cover ups are great for the land excursions. I wore a swimsuit and a wrap around mine and I was perfectly acceptable for all that we did.
Have a wonderful time, it's a fantastic ship!