Save space for some products made from Guavaberry in St Martin. It's unique to the island and is really rather nice. Go to the Guavaberry store in Marigold and see what tickles your fancy. Both the liquer and the chocolate are lovely.

In terms of rum, I'd say Barbados rum is the pick of the locations you're going to. Try to find some Mount Gilboa - a rum by the whiskey-loving owner of the distillery who does all the Mount Gay premium rums.