Further ... on the question of where to stay: There's nothing really like the old Rum Point Inn with its concrete igloos and classic old colonial lodge building, or for that matter like my old favorite Kitty's.
For luxury the top place is Frances Ford Coppola's Turtle Inn. For upscale condos, Chabil Mar Villas or the condo suites at Inn at Robert's Grove (under new ownership). For mid-scale, I'd say Laru Beya, which are condos next door to Robert's Grove.
The closest thing to what Kitty's used to be is probably Maya Beach Hotel. There also are some nice small places with a couple of cottages on the beach like Maine Stay and Barnacle Bill's, plus some tried-and-true places in Placencia village like Ranguana and Westwind.
For food, the Bistro at Maya Beach Hotel is absolutely terrific, one of the best restaurants in Belize. La Dolce Vita and Secret Garden, both in the village, are very good. Also Rumfish y Vino. Tutti-Fruiti has some of the best gelato in the world, much less Central America.