So the FAA approved program means you could do a MIA-SJU flight and you're now qualified into C. America, S. America(not mountain cities which are individual special qualification airports), the Caribbean and Hawaii.
South America and Hawaii are separate courses. You are NOT qualified on those routes if you only sit through a Latin America course (at least on the US Airways side).
Before the aircraft logbook format changed (due to the merger), it had a decal that stated the aircraft's restriction, e.g. 162NM, EOW, etc. Now, it only states Overwater Equipped which probably led to this cluster ...
Sadly, I have seen quite a bit of good LUS procedures disappear because they don't seem to meet the reAAL standard.
(silence is golden)