wow, i honestly went into this thinking it would be Seizuredome (blame the controversy over you a while back), as much as i wanted it not to be. I'm really glad that this ended up being something very unique and unlike any other arena game i've ever played.
Throwing punches works well, but like karamazovapy said, it does have it's flaws, like not really being able to take care of tons of enemies without powerups. The graphical style is also very interesting, especially how you combined a lot of simple stuff in the fighting portion of the game with the hand-drawn style that you have shown that you are very good at. The only problem i have with the graphics is that sometimes explosions can cover things like the swarms of pets, or other enemies i may need to see.
Great game though, and congrats on it being your first.