So, you turn the switch to on, it doesn't fire, but when you bypass the safety circuit it fires and stays on until you flip the power switch to off. What happens if you don't jump the safeties but jump out the on/off switch?
I would expect the system to continue to fire when all the safeties are bypassed. You could also by pass one safety at a time until the unit fires like it should. Then you have identified the safety that is bad.