Recently posted on their facebook page (this could explain it):
From SeaStar Inn:
Hello everyone please join us this Saturday Sept 3rd for our final show for the season. Our property will be closed from the 10th of Sept for refurbishing of the rooms, stage, pool, dining room, gift shop and office.
We'll keep you update on our reopening sorry for the inconvienence this may cause.


I asked when they planned to reopen because I was hoping they would be reopened for our trip in October, and their answer was:
SeastarInn Jamaica: Hopefully in mid October