Not sure about the 360 but most DT's run a separate coil for the main headlights. This comes from the magneto and then to the lighting switch and on to the headlight. This is completely different to the gauge lights which work from the battery. If you have checked the plug behind the headlight and this had no power, what you need to do is start to check where the power stops - this assumes that the coil in the magneto is generating power in the first place. From the headlight plug, follow the wire through the headlight bowl and back to the handlebar light switch checking where the last place there is power to this circuit. It may be worth a look at the www.slimduck.com website.