We went to paradise beach last year and it was so nice. For $8 all day you could use their kayaks, trampoline, they had a big mountain you could climb and slide down the other side, and they had floats you could use. There was great snorkeling here. They had lounge chairs you could use free of charge and they did not bother you about buying something to drink or eat. I would definetly recommend this beach to anyone.
One thing though I am not sure how the beach is now because of the hurricane last year.
Hope this helped.
I would not recommend renting a car and driving around the island because there is nothing to see and it's a waste of your day. The shopping at the pier is just a nice as going into town if not better. I really didn't care for the town myself.