Thank you. That's what I planned on doing, but the extra detail is helpful. I had planned on waiting for my multi-meter to arrive, but I think I'll grab a couple pieces of wire and do a jump test to see if I get light. Of course, the light bulb might still be bad!
Yes, a new LED light is coming. I want to get the generator sorted first, then buy a light. If this generator doesn't work, my caliper brakes aren't very good either, so I'll be buying a Sturmey-Archer XL-FDD 90mm drum brake Dynohub.