Do you have loads of noise (hum/buzz) and no sound, or no noise and no sound?
Total loss of signal with any pickup selected would indicate that the fault lies on the common parts of the circuit. That would be either the volume pot, selector switch or output jack. Visually everything looks OK, but I'd focus on these three areas.
It's possible that you have a faulty volume pot. An internal short to the case could cause what you describe. An internal short in the selector switch would also cause this issue, but is less likely.
It's unlikely that all three pickups are faulty in the same way and the tone pots should only be in circuit when the neck or middle pickups are selected, so you can disregard those for now.
I will say that there appears to be an error on the selector switch where the two tone pots are connected, in that I can't see how it's possible that they could operate as intended. But that shouldn't be causing your lack of sound and is a separate issue altogether.