Good job :) I like the addition of wall jump. Though this should be highlighted as you are working with this as a new technique that will have to be implemented.
There is way too many arrows. Especially if the arrow is overlapping another illustration or even worse text, somethings wrong. There is plenty of other ways to note that this pad is connected to this door than just arrows (color-coding, numbers, etc etc). The info pop ups can mostly be written directly into the map, though I would put them into a box or something and then add into the legend that this means there should be a tutorial pop up. This way you can just add a box that says "crouch" into the map and it will be obvious there should be a tutorial pop up about crouching.
In general - use less text. For example "The door is open only when all enemies are killed" can easily be replaced by "open when all enemies killed".
While I like how you type out the introduced mechanics for each level, I wouldn't be afraid to clearly separate what text is connected to which mini level.
This however does feel like a bit of a stretched tutorial. Maybe adding a final mini level where you introduce shooting as well would be nice.
And finally - how much health does the player have? Can they use weapons? (They can't here, but instead of writing it in one of the level instructions, it should have its own spot) What about the enemies? Health? Damage? Range?