Apples and oranges getting mixed together here. The ground school covers all arenas. ETOPS is covered. Hawaii is covered. Neither require a flight checkout. Cross reference chart, and CKA, both state that an ETOPS, or Hawaii flight, is not required before flying to Hawaii.
Thanks for the clarification, I appreciate it.
MIA-SJU is not ETOPS. No ETOPS requirements.
I'd almost bet the 75 minute benign area of ops is still buried somewhere in your OPSPEC's, it seems to be common among U.S. carriers for Caribbean operations. Most folks have never heard of it though. It is a legacy deviation from FAR 121.161 first issued in 1977 and is sometimes called 75 minute ETOPS.