A personal favorite is the Pelican. It is reasonably priced and offers authentic Jamaican cooking and some American mainstays like hamburgers. Breakfast here is terrific. Margaritaville is a party waiting to happen fit with a slide into water though once it ran out of margaritas. Across from Margaritaville is some new casino action.
Many hotels offer boat rides in the bay.
Private companies also have party yachts on which to cruise away your worries. A nighttime cruise through the bay is very pretty as the mountains rise up over the city and tiny points of light mark Jamaican homes. Mobay is a good point of operations to use if you wish only to explore the nearby area. Just east of town Rose Hall Great House and Greenwood Great House. To the south is Barnett Estate, you've never seen so much sugar cane.