I found some information on Parasailing:On Nassau/Paradise Island, you can find parasailing adventures at the following locations:
Nassau Marriott, Cable Beach
Cost: $40-$45 for 7 to 10 minutes
Nassau Beach Hotel, Cable Beach
Cost: $45 for 7 to 8 minutes
Cost: $45 for 5 to 7 minutes
They don't make it easy for you to book. I've read that you can go to the lobby of the hotels to book a ride. I have'nt seen anything on age requirements. I've been looking for a place to go parasailing in Nassauas well. Sometimes RCCL can't make it to Coco Cay if the water is rough. I'm going on the Yellowbird tour to Blackbeard's Cay beach, & will try to go parasailing there.