You can bring one bottle per person and one carton of cigarettes per person IF you buy them in a duty free shop in the US. If you buy them at the incoming (arrival) duty free at Belize International, you can bring four bottles per person and two cartons of cigarettes. While the amount is higher, the selection is definitely smaller than in the US. If you want to be sure to get what you want, I would suggest that you buy one bottle in the US duty free, and then see what is available in the incoming duty free when you arrive in Belize.