Thank you for your in-depth review! You made extremely good points, I will definitely take them into consideration!
And yes, the story part was actually planned and was supposed to have some comic intro for each level introducing new mechanics along with story-telling, but due to it being a 2 days gamejam I could not really implement it.
I initially do not have intentions to come back and work on this, but your comment has added some fuel to get it started again, thank you!