In my opinion your operator presence switch is defective or out of adjustment.. In other words the system believes that your seat is tilted forward so that the engine can still run and you can engage the PTO to operate stationary PTO driven implements. BUT if you touch the hydrostat pedal either forward or reverse out of the neutral position then the engine will shut down by operating the stop solenoid within 1 second.
Long story short the tractor does not think you are in the seat and that it is tilted forward, But the operator detection part of the circuit works or you would not have been able to crank the starter motor. Also the neutral position of the hydrostat pedal works as well or you would not have been able to crank the tractor. Likewise the PTO engaged switch works as well. On some of the tractors there are two separate seat switches, and some have a two stage switch with the two functions. It is the seat tilt function that I believe is not working on your tractor. You might try a tye-wrap.