No, beer and rum are available, but store hours aren't the same as Negril. Selection also isn't great. There is a little complex on the left side as you're coming into treasure beach that has a basic store that carries beer and rum, then another across from Frenchmans Reef. There are other little stores scattered around that will have warm beer. Prices are generally less than Negril. Enjoy, it's an awesome area. Rent a scooter and find your way up to Lovers Leap, or head the other direction to Ft Charles Beach (12 mile desolate beach, just go mid day). There are also several cool little spots where you can access private, secluded coves along the way. Just ask the locals at each beach before you go swimming, currents can be pretty gnarly in that area. Generally, if you see a reef out in front of you, you're okay to swim between the reef and the beach.

It's a very safe community, so it's okay to let your guard down a bit and just enjoy your time. You won't be hassled much, if at all.