The solenoid works though, and I guess the way I phrased my last post was misleading. They didn't cut any wires. The alarm box and cdi both have 4 wire plug and a 2 wire plug. They just had them plugged in wrong, so the wiring harness isn't damaged other than the few grounds that had exposed areas. I spliced those back together using hear shrink butt connectors
The alarm has a 3 wire plug and a 2 wire plug = 5 wires total. The CDI has a 4 wire plug and a 2 wire plug = 6 wires total. They can't be mistakenly swapped... so something is wrong here. Did someone switch the wires in the plugs between the alarm and CDI? If so, that indicates either the wrong part(s), china made part(s), or the harness was swapped or hacked on.
You'll still have to replace that china solenoid... and the wiring harness is still a major suspect. I'd replace them both before going any further.
You said your neutral light works so you are good to go there.
Also, if your CDI was wired up wrong...? You can't expect it to work once everything has been corrected.