This small black wire in the fuel pump is for what? One end just attaches to the plastic fuel pump housing and the other end goes to a ground wire. My fuel full has been acting up can this be the cause? I do t see the purpose of this wire since it's just coneected to the plastic fuel pump housing.

 

I think it's some type of oem ground wire. I wired my pump w/ the SOS relay kit and I think they mention in the install instructions to remove that.

You running a separate relay for your pump? If so, feel free unplug and cut that wire off at the plug.