Also, If you jump those pins with a multimeter it should tell you if the fuel pump is working too hard depending on the current draw.
I think it should draw less than 7 amps. I sure someone will have the correct draw rating if I am wrong.

Don't discount the relay idea though. In the 380sel I had, it would stall, then not restart for sometimes 1, sometimes 10 tries. Then all of a sudden, it would start and run like nothing had happened. Thankfully by then I had had some fuel pump relay experience and after resoldering the relay it solved the problem.

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Andrew
300e 294,000mi
380sel 185,998mi
380se 309,980mi