The tournament forum is up!
I'm no expert but I think this is called a knockout tournament (and slightly different from pyramid tournament). Maybe that could be the name "The Samurai Wars Knockout Tournament"?
No-shows will occur, so the rules have to deal with this. Best of three sounds like a good idea, will probable work better than "stops". It should be the responsibility of the participants themselves for having good connections and charged batteries.
That kind of diagram works great. The small text should have a more readable font. And if you want to use the "official" title font, you can find it here: http://www.dafont.com/karate.font