If it is clicking with the key, but it will start with jumping the solenoid, then my guess is you have a corrosion issue. First, disconnect the battery and then remove starter wires, clean, inspect, and make sure they in good condition.
If that does not help, I have to ask if you did the test listed above to check a starter. If you are getting 12 volts to the smaller wire on the starter when the key is in the start position and a good connection between the battery and the starter, my first guess would be the starter. However, it does not seem it is bad based on what you said, but rather, it sounds like a dirty or loose connection at the starter.
Let me know what you find.
Joe
Thursday, November 29th, 2018 AT 5:24 PM