Your brain zaps sound pretty much like my electric spasms. They may just be due to you hammering your system, I've read alcohol particularly robs you of B vitamins which are vital for your nervous system. Mine are tapering off now, I got some medication from the doctor basically because they were so frightening. But I'd suggest cutting down very slowly - or better going to your doctor. Also it's complicated, look up Delerium Tremens on Wikipedia and the stuff about GABA. Basically your brain needs time to adjust to not being posoined.
Everyones different, but word of warning - my electric convulsion things got worse with each day I was sober to the point where I was scared not to drink.