[Glenlivet]

Turn on the lights and push the button. If they go right dim the battery is depleted. If they go right out then there's a bad battery cable or ground, even if it seems tight! Loosen and move them anyway and retighten. If they stay full brightness and it clicks then the starter is bad or the solenoid isn't activating or conducting. Short the big wires on the solenoid. OK you did that. Check the big wire on the starter post too, loosen and retighten. make sure the starter is grounding too, surprisingly sometimes it doesn't.
Then donk the starter body with a hammer, brushes might be worn down or maybe one got hung up.

Follow the solenoid big wire to find the starter. Very rare they put it into a wire harness, usually it goes where it goes alone.