Wouldn't "open hatch" and "close hatch" be the same servo, just rotating in opposite direction for each action? So really you would only need 2 servos total.

Sorry that I can't help you with how to accomplish it, but it can no doubt be accomplished, it's just a matter of how easy or complex will it be. There are people who build very realistic planes and boats that have multiple rotating gun turrets and bomb droppings, retractable landing gear, etc. Might be best to find out from some of the plane guys how to get your setup working.