Power at coil when key is turned to auxiliary?

I have a 383 with EI in my car and when I turn the key to the auxiliary position it has power, I know because there was a loud buzzing noise coming from the distributor and when I touched the coil wire I got a bad zap. I pulled the cap off and found one of the contacts has a pretty bad burn spot on it.
I have a couple questions lol...should there be power in auxiliary? Should I have got a shock from the wire or is there something wrong with the coil wire? What could be causing the burn/arching inside my distributor? Is changing the dist. cap & button going to solve any of this?

Thanks guys.