1 I am confused inst wire 8 a red wire from the solenoid to the ammeter see wiring diagram above. I believe it is wire 6 that goes to the magneto Black (number 6 i think) that you want If that is the one you mean yes i can find it and it has a spade plug to attach to the green wire.
2 yes the Briggs engine would stop if you turned the key off or got off seat with blades engaged
3 the answers to 1 and 2 i believe are both yes i have been connecting that wire all the time and it either wont start or stop