Good job! You've got an impressive amount of content for a jam game with three different minigames!
As others mentioned the controls don't feel so great in the platformer section, it's hard to go on slopes and for something that needs precise timing to avoid falling into spikes, that can be a bit frustrating. Similarly the attack animation doesn't really show the range of the attack, so most of the time I ended up bumping into enemies (thus losing health) before I could land a hit.
Still, it works fairly well and I could beat the game! 40-something Zombliens in 50-something lives :)
The artwork is fairly good, and contrarily to others I didn't struggle too much finding the items (I avoided Zombliens since they would easily overwhelm me and kill me in 1 s, as there doesn't seem to be a grace period after a hit so they accumulate).
I had a good chuckle with the story :D