"no sound" can result from a simple wiring mistake at any number of points in the wiring harness. With all the wiring new, then all the wiring becomes suspect. A lot of ground to cover.
If you can, post pictures that show the entire cavity, and annotate which wires/colors go to which pickups. Four-way switch? Please post what it's supposed to do and how it is supposed to wired up. Maybe help can come that way.
If there is a ground connection missing, that could kill the sound. But again, lots of choices. If the grounds are not optimal (but present), you'll get a little extra noise in your signal.
Just thinking out loud. No sound? No crackling when the pots are turned? No hiss, no hum? Start with the jack wiring.