One way to test the solenoid...
Disconnect the 2 small wire connector from the solenoid (the one that the starter switch connects to)
take a pair of jumper wires. Attach one pin of the solenoid to ground. the other pin touch to +12v power, and you *should* get the clicking sound same as you should be getting when pressing the starting button.
as for the neutral light. Yep, should deff be turning off when you click out of neutral. May have something to do with the safety switch bypass??? Not really sure what might be going on with that.
The yellow wire under the tank sounds like the one that should be going to the coolant temp sensor near the coolant fill neck.
......I'd rather wake up in the middle of nowhere then in any city on earth.
*2014 VN900 Custom (16,200 miles and counting)