Here is what I have now, but still not working...



(the back of the PCB looks a lot better in person... I don't know why it looks so messy and dirty in this picture).
I guess I tried everything:
-changed the switches, although I also tried with the 3PDT with exact results;
-eliminated the ground loop;
-changed cables for better quality cables;
-replaced that bunch of capacitors for proper 330pf units;
-changed the 47ohm resistor;
-changed the connection on some of the pots;
-connected missing cable from the boost switch...
The strange thing is that when I use the LM324N I can get sounds out of it, but horrible sounds... I have a video to show how it sounds:
http://www.youtube.com/watch?v=Rlu_vjAOTSU The last switch I press is the boost, which seems to work OK. The sound even when bypassed is still distorted (the amp had a very low volume, and obviously not distorted). The pots are still working a little weird, but better than before.
But when I switch to the LF347N I have no sound at all. The LEDs do blink when I play with the LF347N, but it does not blink when I use the LM324N.

My last hope is a local friend who built amplifiers, but it is very hard to find him... I live in a very small town in the middle of Texas (College Station), in case someone is from here.