No idea where your wires go as this forum is for the latest 1000cc Katana (gsxs) But I think you need proper connections on you wiring, as in picture one just twisting the wires together is a very bad idea, especially so close the the fuel system. In the picture I see the white to light green/black and yellow to blue wires. I would also check the rest of the wiring for similar bodges.
Picture 2 might be fuel sender, the other end would be on the tank ?.
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