Thanks for the suggestion.
The red wire is tight, because I tightened it when I replaced the red wire from the battery. I read on another site that said to remove the solenoid to ensure it is not corroded between it and the mounting block.
What would happen if the starter or solenoid were bad? Would I still get the clicking noise?
I also read where there is a junction box for the lights that may cause something similar. I may try by-passing the junction box and see if that takes care of it, because the lights were missing when I got the mower anyhow.
I have also disconnected the seat kill switch, so I know it is not the problem. Unless there is someway the switch is closing on its own without one of the wires attached...which I doubt. I also think that if a kill switch was bad, then I would not get the clicking.