Trace the small wires from the solinoid back to the key switch.
Unplug them. With the key in the On position, Clutch pedal depressed, PTO disengaged, and weight on the seat. Touch those wires together. If the engine cranks, the key switch is bad. Also, there should be a fuse in there somewhere. Make sure it's tight in it's holder, and not blown.
Rick, February 2006