In the anime Saiyuki, there is a character by the name of Cho Hakkai. My latest little group of friends has informed me that I look and sound very much like this character.
Soooo... the name Hakkai came from that.
Zaberz spread from Battle.net, which is an online system developed by Blizzard for games like Diablo and Starcraft. A lot of people use their system to roleplay rather than play the actual games. I used to do that, too.
When I played there, my character claimed to have no last name. A group of people got together (without my knowledge) and set up their own little storyline as to why my character knew nothing of his past. They literally dragged me into this story, and it turned out to be a great roleplaying adventure that lasted well over a year.
So I put my real nickname and my online handle together, to create Hakkai Zaberz.