Major upgrade to your last game. I think it's a very solid short game. There are still a few bugs to work out in terms of movement, collisions, and sound. I think if you fixed some of those issues as well as added a few sound effects into the game for when the player jumps, attacks, dies, etc. it would be better. For right now though, it's a solid game that can be improved upon. I did a Let's Play of it here: https://www.youtube.com/watch?v=LVqZ7kdrbQk&feature=youtu.be where you can see some of the bugs and issues I encountered. I enjoyed the game though, keep it up.

The lag seemed to be from something other than the game (though I encounter partial lag each time I play it for some reason but it varies from extreme to nearly nonexistent), but the sound when talking to the "instructor" or whatever he is called always seems glitchy and I don't know if he's supposed to talk or not.

It nice, But the controls could be improved
BTW, I know this music it the most heard

i really appreciated the game, it reminded me of the N+ series, with battle mechanincs, it would really be neat if you could add co-op mode to it and make more levels that you have to parkour through and fight monsters along the way as you build up to the big boss battle, and also perhaps add a sparing room mode either way i really enjoyed it

Some good elements in here, but definitely needs some work. The collisions are touchy, specifically corners don't work well. A lot of difficulty seems to come from iffy controls rather than level design, except in a couple spots where the level design is more unfair than challenging. The randomly bouncing blades in one of the optional levels leave a lot of your chances of getting through up to luck, and the level with the gray thing that shoots blue bullets right next to where you spawn is really annoying. I'd also recommend throwing in sound effects/visual effects, and fixing up the text system so it isn't just black text over the game backgrounds.

The double-jumps is not very easy to execute, and that would be more challenging to be able to try to beat the monster without having to do all the levels, but the game is nice, good job