I like your game. The UI is really well done! And the music and cute soundFX are just superb.
With my Windows Surface I am experiencing some major performance issues, what makes playing the game starting from level 4 impossible. There is just too much lag, preventing to time my jumps correctly.
I like the forgiving colliders. Even when my penguine is some pixels slipping from the platform, the jumps still trigger, which feels just right.
The many control options you list don't seem to work. Space and Click do, but W/A/S/D for example don't.
Visual and sound effects + music vary according to the environment (in a cave this is becoming very obvious) - I love that! But having these quick iterations between fast / slow and normal music speed is too much, I think - your game would do better with reflecting these different speeds visually only in my oppionion.
Over all a promising concept - still some way to go, but this is a challenge all of us are facing.
Good luck and thanks for the entry!