Unplugged the solenoid and the fuse did not blow. It has a stop engine relay that had a broken wire in the plug. I'm assuming that might have caused the solenoid to go bad.
It started out not killing the motor, now it blows the fuse when turning on the key. I assume the fuel shut-off is where we push the button to kill the motor? Should I be able to unplug the solenoid and then see if the fuse blows?