So this is my Jamaica feedback:
No more skydiving in Jamaica, too much taxes over there apparently.
BUT, If you got time (at least a week before jumping), you can request permission from the Ministry of Civil Aviation and jump on the small airfield of Kingston, with a Cessna. (500USD per hour).
It's even harder with a helicopter, you will need a VERY special authorization.
Otherwise, scubadiving is nice also ;-) La vie est une maladie mortelle, sexuellement transmissible !