[wswartzwel]

That fuel solenoid has nothing to do with the starter circuit. It is designed to shut off the fuel when you turn off the key to prevent unburned fuel from being pumped into the hot muffler and backfiring as the weight of the flywheel causes the engine to continue to turn after being shut off.

On garden tractors there are a couple of safety switches that can cause the starter to not engage. most common is the brake pedal switch. or neutral switch depending on your model. Also if you have an electric PTO, the switch has to be in the off position. Look at the fuse to make sure it hasn't corroded, also look for rust on the back of the Ign.. switch. those are also common issues for no crank situations.