After you have ruled out any loose wires and tested the fuses, wiggled the seat in case the safety switch is sticking, double-checked that the PTO switch is off, etc, then we can check the solenoid. I would also double check again that the solenoid is not clicking when you turn the key - maybe get someone to stand with their ear close to it - it is a distinct audible mechanical click sound.
The solenoid can be ruled out quickly and easily, but some people are not comfortable with the following approach. Go through the typical procedure for starting up you tractor up until you’ve completed the glow plug cycle. Instead of then turning the key to crank it over, jump the terminals on the solenoid with a heavy duty screwdriver. Make sure you are not touching any metal with your hands, or you’re in for quite the jolt. If the tractor cranks, starts up, and continues to run, you have a bad solenoid - bad fuses, cooked or loose wires, and faulty safety switches will prevent at least one of those things from happening. In addition, if it does turn out to be a bad solenoid, you can continue to start and use the tractor in this fashion until you are able to get it repaired. Just be warned, you are at risk of electric shock and burns! You have the full cranking amps of the battery passing through the screwdriver. You will also observe sparks on initial contact and there will be burn marks on the screwdriver. The key is to make the connection as quick as possible, to minimize arching.
If that does not enable the tractor to run then we will have to investigate further.
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