Fuel pump problem

[Kas]

I noticed a problem with my fuel pump.

Sometimes, when I try to drift, od just drive normaly, the engine suddenly stop.
When I try to run it, every thing looks ok, but I don't hear fuel pump, and dont hear fuel pump relay on passenger side.
I think that fuel pump is OK, but I may have problem with relay or something.

When I wait for some 1 minute, the car runs normaly.

I looked in manual, and find that fuel pump works thru the circut opening relay.
Also, I noticed fuel pump check conector.
What is purpose od that conector?

Did some one have simillar problem?
How did he resolve problem?