C ar rental in Eleuthera is very informal. There is no paperwork, simply meeting one of the locals at the airport, who solicit your business, set a price, and give you the keys. In my opinion, he's the most reliable, and personable. Usually the cars are slighted aged, but in good shape. Occasionally you can get a new Jeep.
Weekly rates are negociable.
Remember, you must drive on the LEFT side of the road, as in England.