Fuel pump relay would be my first guess. Since you state "If it doesn't start the first time you have to wait 5 minutes" which sounds to me like it tried to start just didn't. It is firing off what little fuel pressure is left. The relay is located right of the brake booster and will have 8ZYL with an RPM limit (5900?) printed on the top of it. If you open it up you may find broken sloder joints and simply resoldering them might fix it. Once a gain just a guess.

fasthair