There are many drinks in Jamaica, but if you want to drink local soda, you can try Bigga Cola, Champagne cola or grapefruit soda called “Ting” and also Ginger beer. Also, try any soda by Desnoes & Geddes, typically labelled as “D&G.” “Cola champagne” and “pineapple” are popular flavors that you won’t find anywhere else.
Since the turn of the century, the majority of soft drinks are bottled in plastic instead of glass. You can try the local lager called Red Stripe (which is exported to many countries in the west, so there is a good chance you have already tasted it) and Dragon Stout. Most beers can be found in Jamaican pubs and hotels.
A local hard drink is Jamaican Rum, which is made from sugar cane. It normally tends to be overproof and drunk with cola or fruit juice. content via wiki
If you get the chance, track down this guy and try his Rum Punch!