Just watched it, this is very helpful! Thank you very much! You actually took the time to get all the eggs too. I took notes for the next demo.
In level 2, you can cheese the egg to the left by getting it with Chloée, and in level 3, to get the egg in the pit, you're supposed to wallslide to slow yourself down to be able to get to it. I can understand it's ankward to get through, the 3rd and 4th level were an afterthough to be honest. And what gave you trouble in the last level was indeed the ice.
Thank you again for taking the time to fully review my demo!