YF,
There isn't really any action in the port area. The closest regular action is at Raul's Rose Garden. It's on the road between Belize City and the international airport. All the taxi driver's know where it is. However, like most of the joints in Belize it is usually open only Thursday through Saturday evening.
Another place you can check out not too far from Belize City is Almond Hill/Obsession. It's on the Western Highway outside of town. Same hours as Raul's.