[franken]

The solenoid is what's clicking, so it's trying at least. The solenoid switches (turns on/off) the starter and throws the starter drive (Bendix) out to engage the flywheel/flexplate. Those aren't happening. You can jump from the big + terminal to the S-terminal to see if that helps. If it does, the solenoid isn't able to draw enough current to operate.

Measure the voltage to ground (block) at the S-terminal when the key is in the start position. Clean both battery terminals, cable terminals at both ends, and make sure the big ground cable goes to the block.