If you are going to stay on the island and not leave to go to Anguilla or St. Barts or Saba anywhere else, you don't need to renew it before. If yes, then you probably should. Some other islands require your passport to be good for 6 months after you enter the country. Sint Maarten (which I assume you'll be flying in and out of the Dutch side??), does NOT require that, so if you're just staying on island, you don't need to renew now.