I was able to remove the fuel pump and take it apart and clean it properly.
I bought the 16V 100mF capacitor and installed it conveniently to the contacts. Now - to test the pump I took the 12V battery from the dremel. BUT THE PUMP WONT START. I open up the pump again check all what I have done and everything seems fine. The pump just pulls once, when I apply the voltage. Is the "clicking" regulated somewhere else ? By a pressure relay???