The way I understand it, the relay labeled "6000RPM" is the fuel pump relay, as it cancels voltage to the pump at maximum engine allowable RPM, or 6000. It aslo, however, cancels voltage to the pump if the ignition stops sending an RPM signal, so in effect after the engine dies, the pump not running is normal.
The fuel pump terminals should be labeled 87v, 30,87,31,TD,50, TF,87K,and 15, to help you identify it. Perhaps one of our more experienced helpers can help you take it from there.

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1983 380SL
1995 C280
1995 S500 coupe
1990 Mazda Miata
2004 Suzuki Hayabusa