That's a good start!
You're capturing the Samurai Jack atmoshphere pretty well in your cartoons! I have a few suggestions though. Take your time and look for good sound effects, they make a difference. Fitting music is also important. I would suggest you made the whole movie in widescreen, I've seen an episode of Samurai Jack, or maybe it was a movie? that was all in widescreen and it looked amazing. Also, make your outlines bigger, they are very big on SJ. Yours are really slim. You can also use movie clips so that when SJ goes across the screen, he doesn't look like a static image, you can just do a little frame by frame inside that movie clip so his clothes move a little or something. That's all I got for now, nice job, voice acting couldn't hurt too!
Adam