From this it would appear to me that your seat switch is bad and acts like you are standing up, or that circuit is open elsewhere, because the PTO or the Pedal switches are then open and the current must go thru the seat switch. If the two (PTO and pedal)l are closed, meaning they are in neutral, or no PTO in use, your seat switch can open and things still run.
Trying to go forward or back takes that pedal switch into an open position and your seat switch then should be closed, but is open or a bad circuit there.
In other words if you want to get off the tractor when it is running, the pedal switch has to be closed, in neutral, and no PTO should be operating. Get off the seat and it still runs.