You are integrating an older style switch into a newer harness. Your original switch combined the headlight feed with the start button, while the new old style switch has separate switches for the light and starter. Also, the old style starter button provides ground to one side of the solenoid coil, while the new style provides 12V.
Starter button:
Connect the yellow/red from the switch to the yellow/red on the harness.
Connect the green/red wire to a solid black harness wire.
With no other switch wires connected, key on, in neutral (neutral light on) and or with the clutch pulled in, pressing the button should spin the starter.
Run/kill switch:
The black/white wire from the switch should connect to the harness black/white: no change.
Headlight On switch:
There should be a brown white wire on the new switch, but that must be the green/white? Verify continuity between that wire and the black switch wire when on, and no continuity when switched off. If true, connect the harness black/red wire to it.