First an appology.
I should have checked first, It appears that Scag do things different to everyone else.
They run power all over the mower.
go to Scag
http://www.scag.com/OPManuals/SCZ/SCZOPMANTOC.html and download your manual.
In the back is the wiring diagram and according to the one I checked Scag safety switches are live.
The SCAG EYE has a chip in it by the looks of things which grounds out the control wire to the relay which powers the starter solenoid which cranks the engine.
The last place you should take the mower to is an auto electrician.
Take it to a mower shop
Mower wiring is very easy.
Check the wiring according to the diagram for your mower.
If you can not understand it post your numbers so we can bring up the same wiring diagram and walk you through it.
I will go back & try to remove my erronious reply.