Found the problem! Dash lights were flickering when moved around wires. See that big glob of melted plastic? There were two bullet-style connectors wrapped in a heap of electrical tape that melted. I put new ends on all the wires and she fired up as normal. I installed my new solenoid since I was in there.
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Cleaned up. Eventually I'll go to the blade style, but this will do for now. Here in upstate NY I'll have plenty of time for upgrades during winter. I just want to ride it!
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Those wires should be fused. The main is 20 amp and the other is 10.