Retrofitting Briggs With Kohler Engine

I am retrofitting my old garden tractor with a new 7000 series Kohler engine (KT715-3047). I have two questions.

Looking at the wiring diagrams I am stumped as to where the orange lead goes. The wire marked S on the engine connector has two orange wires that double back onto each other and attach to the same connector pin on the Kohler connector. I have no idea what tractor wire this pin is supposed to connect to.

Also I have a three prong starter solenoid (2 posts/1 tang). I have a Kohler engine lead tabled to to attach directly to the solenoid. Do I need a 4 prong solenoid (2 posts/2 tangs) or can I slice the blue lead into the existing solenoid tang.

crwdns2893858:0crwdne2893858:0 crwdns2893862:0crwdne2893862:0

crwdns2894050:0crwdne2894050:0

crwdns2889612:0crwdne2889612:0 0
crwdns2892346:0crwdne2892346:0