!!!
That bare wire is soldered to the Jack Tip !!!!!
This is wrong and why you have audio problems.
Compare that wiring with the Duncan Diagram.
View attachment 3713553
It looks like the cap is soldered to the center lug of the tone pot, compare to the diagram above.
there should be a wire leading from the same connection as the red wire going to the Jack Tip where the bare wire is soldered.
Also, there should be a ground wire from the Jack ground (the other lug on the jack) to the tone pot case.
Correct these first and foremost!!!
Those three black wires should be soldered one to each pot...
Bridge ground to tone pot, bridge pickup to bridge pot, neck pickup to neck pot. It’s not technically wrong, but not really clean...
each pot should be grounded to each other, also with soldered wire. I’m sure you can see it in the Duncan VVT diagram.
you’d have to pull the bridge to see what the pervious owner did with the foil. It
could be for trying to get a “better” connection, but it is not needed. I thought maybe he wanted to get the bridge up higher, too...maybe he was having string buzz issues and he didn’t know how to correct. How is the truss rod working? Is the neck straight? How is playability and strong height?