Yes, I recommend that you rent a car. You'll have much more freedom and will see more of the island. Also, you can skip the tours and drive yourself in a car. Our car rental partners can even deliver the vehicle to your villa should you desire to take the road from there.
Of course, there are taxis, both road and water, that can move you to some of the other pretty beaches and resorts, but access to a car will undoubtedly open more of the island for you and give you great independence while you vacation.
I recommend you avoid driving at night until you have driven the same road in daylight. Then, pull to the side to let locals pass you, especially the local bus minivans