Dango, was the jacket plastic? Did it stick to you? Always treat every tool with respect, they can all damage you. Tie back long hair with rotary tools, rubber boots with electric stuff and wear flame resistant clothes with stuff that flames, sparks or arks. Its only a mistake if you didn't learn from the experience. Keep the wounds clean and don't pick at the scabs. Hope you heal well without much scarring, although scars can be pretty cool, they have stories behind them to use as reminders.
I had bad burns on my legs from falling asleep by the pool one summer, 2nd deg if I remember correctly. They wouldn't heal even after months of treatment by the docs. I happened to meet a new girl friend and she said put aloe vera gel over the burns. Damn if in a few weeks they healed finally. That gel soothes the hurt too.