Not starting! Why?!

This morning I tried to start my car....and nothing. The starter made a faint click one time. Car gave no indications of dying out. My batt is fully charged, all connections are good. My starter relay might be bad, but I pop started it and it ran a little shitty. It wanted to die out, I had to keep on the gas pedal. As soon as I released the pedal it died. The check engine light is NOT on and I checked for codes anyway, and there are 0. I would say something was wrong wih the starter system but it dies after pop starting it anyway. WTF? Anyone got anything.

Well, for the hell of it, I took the starter to Autozone and it tested good. All wiring is good because I tested that first. The batt is still got 12V. Anyone want to buy it....i'll give a good price!