Solenoid or Starter?

Hey guys whats up? I just replaced the Fuel Filter on my camaro and it runs smooth, no more sputtering when I hit the gas....

Now heres another problem:

Whenever I try to start the engine all I hear is a clicking noise and it clicks once, it doesnt try to turn over it just kind of clicks and then you try again and it will start with no problem after a couple of times of the clicking sound....

It has a new battery in it so I eliminated that possibility and I figured it be the starter but then it doesnt have trouble starting, So Im thinking either Solenoid or Battery cable terminals....

Anybody know what this may be?

It sonds like a bad connection I would check for burnt spots on the starter wires and the battery cables. Check for corroision and also make sure the connection is good and tight

Can you update how you fixed your problem. I have the same issue with my car. Thanks.