[CP241]

The wire in the last pic in the lower right goes to the coil. Thags the kill wire that kills spark and shuts the motor down when it is grounded.

The other wire in that picture I dont know what it is. It shouldnt be there.

All those bare wires in there are bad news. If any of them touch anything metal, it's going to kill spark and kill the cart.

The wiring should go from the white/black wire that runs alongside the cable, to the bullet connector behind the rev limiter. From there it goes to the coil.

All the black wires back there are essentially all hooked together. The kill wire coming from the microswitches connects with the kill wire from the rev limiter and feeds to the ignition coil.

That's also not the correct solenoid. It probably works (functionally) but doesnt mount correctly and with it bouncing around inside the black box like that could lead to trouble.

How long does it drive before it cuts out? When it cuts out will it instantly start back up again or do you have to wait a bit?

Theres a wire that goes behind the fan shroud behind the rev limiter (kill wire). It is one of those wires you're messing with. For giggles, disconnect that wire and insulate it so it cant touch metal. Try that and let us know if it still cuts out