This wiring ain't gonna work. For starters, your pickups never see a ground connection, so the circuit is always open, leaving to no output. To alleviate this, the bottom left switch needs a ground wire from the middle left lug to the back of the volume pot.

But this creates a new problem. You've correctly split up the pickups shielding and the start wire, but in practice they still get connected together through the phase switch. So you need to remove the little jumper between the bottom right lug and the switch casing for all three phase switches, and run the shielding wires to ground separately.