The controls are a bit junky but the concept is really great, i believe the level deisgn is really the weak spot of the game, for instance the first level you start and the first thingyou see is penguins, i read the game page so i tried to pick up one (btw i couldn't figure out what their power is), but what the level is actually trying to teach is the power of the bird which is first offscreen.
And i agree that is too easy to get stuck in the second level, do not fear getting the levels bigger, especially with that kind of movement speed, you should introduce powers one by one (although i understand level design is a long task to do and it's complicated during a jam), like make a safe zone where you can test that power, it should be kind of obvious as the power is, like for the whale, but it's also a good example to showcase the difference between with and without, you could first make the player go in water and notice he can't swim up, then he find the whale and is able to go up and out of water.
I suggest the videos about making a mario level from GMTK, as mario as exactly this kind of mechanics and level-design.
Otherwise the music and sound effects are great, the art too, good job ;)