Dang, this is a pretty cool game. Well done!
The whole experience feels very polished. It's incredible what you were able to accomplish in just a week. As others have mentioned, the movement feels a little superfluous when taking the air dash into account. I would have liked to see a bit more level traversal like in the tutorial. I thought that was a good mix of platforming and combat. When the core game started though, it felt more like just a beatemup instead of a clever combo platformer. I had a bit of difficulty telling what was going on. I didn't understand what was hitting me or when I was getting hit even, and It wasn't clear when a level would be cleared. I made it to the third level with the laser beam enemies. Those were really cool and gave me the first really good feeling of dodging stuff. Those felt easier to dodge than the bullets I wasn't able to react to quickly enough. An impressive array of enemy types though.
Overall, a really cool experience. Keep making games, this is really good. :)