Neat game! I've seen the theme interpreted this way for a lot of other submissions ("die to beat the level"), but your implementation of that idea using the shuriken system makes it a little more interesting, so nice work!
I think the difficulty spike is a little too sudden though. The tutorial level is a nice and simple, but the level immediately afterwards took me a whole lot of retries: The fast and frictionless movement makes precision platforming difficult. There's no way to jump back out of the pit in the left and right halves of the level, so not only do you have to not fall, but you also have to aim the shuriken to bounce in a manner that will make it land on the platform to hit you.
Maybe the precision platforming and multi-bounce mechanics can be introduced in separate levels? Maybe have a safety net (a way to return to the platforms without restarting) the first time you encounter it so you can practice without getting too frustrated?
Oh, and the graphics were pretty decent as well!
Overall, not too bad!