Holy mackerel, guys. We finally got her to go.
The problem was a very dirty and loose connector off of the main harness. With the key switched on, we pulled the main harness connector. It was totally dirty, so we cleaned it, put it back together and presto, she was alive.
So the morale of this story is, check all your connectors before anything else when chasing electrical ghosts.
Now I'm still puzzled because the neutral light still does not come on. We tested the bulb and the bulb is good. It doesn't stop me from riding, but it is annoying as hell trying to find neutral.
Another thing, somewhat unrelated; My speedometer is fluttering and totally unreliable. I hooked the end to a drill and the problem isn't the speedometer itself since it tracks the varying RPMs without issue, and doesn't flutter or anything. What do I call/where do I get the part that fits inside the wheel? I think that gear may be all chewed up and giving a false readout.
Thanks for all your help again, ride on!