Hoho, I love this. The game itself is fairly simple but it has so much detail. You didn't have to include brick breaking and wall jumping, but you did and it's awesome! The effects I think really stand out, the explosions and blood splatters make killing aliens really satisfying. I also enjoy the whole egg system, an interesting way to make a high score game out of a single-screen platform shooter. Music is nice too.
One thing, I seem to be receiving damage in this particular random area (circled in yellow):
I don't know why, but when I jump into that range I get hurt. Did you accidentally leave some sort of invisible block there for debugging? I died to it in every round. And as a side note, I think the game would be even cooler with an orange sky instead -- or some other color that feels more dangerous than blue.
Besides that, I enjoyed myself. Great effort!