Immediately before touchdown you will see Orangestead also. Be prepared when you get there as this can be an experience, not necessarily an enjoyable one. Queen Beatrix Airport services all in-bound flights for the island and can be quite busy with charter flights and other scheduled airline flights. Depending on when you arrive, and the flights that arrive immediately before you, your wait in the customs and immigration hall may be excessive. I suggest, if you are renting a car, that you leave one person to claim the luggage and the other head immediately over to the rental car booths located immediately accross from the main terminal.
Island time is certainly in effect when renting a car.
Forget your ideas of computerized rental agreements, they are filled out by hand. By going there immediately you will all the others on your flight who are renting cars. Of course you will still be behind those who came in on earlier flights, but you're still ahead of the game. By the time you have rented the car your baggage has probably arrived and your partner has made their way out to the curb. If not the customs officials generally allow you to return to the baggage claim area to assist your partner.