Interesting twist on chess. I assume the concept was to take the "strategy out of chess." It's mostly successful in creating chaotic chess that is still playable. I really like the piece designs, but I think it has one major flaw, I like the different "power ups" or characters that you can play, but when you pick the same ability for both players the pieces become visually indistinguishable, this becomes more aggravating when one of your players betrays and switches sides. I would either add a secondary color scheme (like black and white) to let you tell who is who, or only allow one player to pick a particular character.
I think also to retain a little bit more chess like-ness I'd default the random effects to low, or give the players a visual countdown til one random event happens so that it might be possible to prepare in advance.