Hi Calum.
At the risk of sounding critical, the way the photo is taken is difficult to see how the wires are connected to the pots and what the quality or condition of those connections may be.
Also because you're using shielded wire on connections between the pots & switch, it's possible you've over-heated the braided wire and melted the insulator to the centre wire causing a short. I have done this when I was learning.
I would suggest de-soldering everything, cleaning up all your connection points (lugs, back of pots) then methodically soldering it all back using single core wire (should have been supplied in the kit) using the diagram I've attached below (the PBG diagram is incomplete for some reason).
By methodically, I mean make your connections in order of the signal path: pickup > to switch > to pots > to output jack. This will help to understand how things should flow so to speak.
Another tip I'll offer is NOT bending the solder lugs on the switch to jump them as you've done. Jump them with wire. The lugs on those import switches are connected via a PCB and I don't know how robust they are. Bending the lugs sideways like that could possibly bugger up the traces in the PCB leading to connection problems. (that is purely speculation on my part, but I personally wouldn't do it that way). And at least one of the lugs on the switch (outer left in photo) looks like it is burnt at the PCB. Switch could be damaged. (????)
Hope this helps.
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