Hawaii, although not technically south of the equator is often reffered to as in the South Pacific.
Belize is a Central American country, but as I posted above is part of Caricom and therefore considered a Caribbean nation.
These are more of a pop culture label than a technically accurate one.
Ambergris caye in reality is composed of 2 Islands, North and South, if you want to get geographically technical about the whole issue.