My bridge pickup is Chinese and is a no-name brand and the middle pickup is a BQLZR branded pickup.

So from what you've told me in regards to the bridge pickup, the bare wire that is currently soldered together with the green wire now needs to go to ground (back of volume pot), the green and black are soldered to the DPDT switch in their correct positions and the black wire leaving the DPDT switch can go to ground (so back of volume pot?) and the red and white remain soldered together and not directly connected to anything? I should put tape around the red and white as well?

Now with the middle pickup, if the black wire does turn out to be a black wire and a bare i should connect the bare to ground (back of pot), the white and black is to be connected to the DPDT switch in their correct positions and the red and green wires that are currently soldered together are to remain that way? With tape around it.

If I have successfully interpreted what you have said than thanks a whole heap Scott. It's really appreciated.