you don't need a battery or a rectifier to run lights on a hobbit. but a voltage regulator is recommended. here's a silly diagram i made when i was hardwiring mine, it's much easier to just re-wire the whole damn bike than to use the insane mess of wires that they come with. this bike started off with CDI, so if you're using a mix of points and cdi components, the colors may be different. but this is how the cdi box hooks up on a stock-cdi pa50ii.