dont quote me on this but i believe lpf is some sort of filter
Yea LPF for sure, also, just an idea, I had a radio once with the sub rca's having a bad ground on the jacks themselves. I wrapped the outside of the jacks with stripped wire, and wrapped the end to a screw on the case of the radio, it gave the same symptom as a bad ground anywhere else int he circuit. You can try a gorund loop isolator too, i never used one, but they are made to aid in that problem.
if you want to amp your factory speakers you need a second amp. also you'll need new speakers.