Three possibilities
When you shut the engine off, the fuel is trapped in the fuel rail. It can get out by 1) leaking past the AFPR, 2)leaking into the engine through one or more injectors, or 3) leaking backward through the pump check valve to the fuel tank. You can check it by using a pair of clamp-on pliers. Use the pliers to squeeze the rubber return line closed at the front of the engine, between the AFPR and the tank. Turn switch on, then off. The pump should pressurize the line. If pressure goes up, stays up, the AFPR is the problem. If not, try again. This time, turn on switch to start fuel pump, or use a jumper to the fuel pump connector behind the alternator. REAL QUICK (need someone to help you if you use the switch) close off the rubber line from pump to the fuel rail. This will eliminate the path back to the tank. If pressure drops off, it must be the injectors.
All this stuff is on the GnTType web site, I think.