Man, two guys in college with Alembic P-pickups? :-)
If you're really sure that the pickups and filter are working correctly, then replacing the volume knob and jack is pretty easy and cheap. The original stuff that would have come in the kit would have been a Switchcraft jack and probably a relatively expensive Clarostat pot. You can order new parts from Alembic (which will probably end up being fairly pricey) or replace these pieces with a standard pot and jack. A real Switchcraft output jack will probably be less than $6; a workable pot is probably about the same (a sealed, laser-trimmed conductive plastic Bourns or Clarostat pot will probably be more like $20-30).
You want to read the pot value from the back of the pot or measure it with an ohmmeter (you can read the value across the outer two lugs). You also want to look at the type of shaft that the pot has (diameter, smooth, splined, etc) so your existing knob will fit on. If you're trying to keep the existing knob and feel, then it will probably save you time to just order another from Alembic.
I think the output jack actually has a much higher chance of failure than the volume pot. If you have a short or wired the battery switching wrong, then the entire thing won't work. Perhaps it's worth checking that part over again, or even putting in a new output jack first.
Good luck,
David Fung