I had this same itinerary last Nov on the Elation. If you like beach breaks you will love Half Moon Cay.
There are chairs all over but if you want a clam shell you have to reserve them ahead of time. I did not know about this. I heard they are $15.00 but not sure. You will only use your sign and sail on this island. There will be a free BBQ provided and servers will come around selling drinks. There are little shops but only one was open when we were there. This is such a beautiful little island. The water is breathtaking. I felt like I was in paradise. We did not take any excurisons. My son and his girlfriend brought their fishing poles and found a great little spot to fish.