Congrats on your first game! Plays well.
You might want to ask the player to play the tutorial on first run. From the name, I assumed this was a Canabalt clone, and didn't realize the axe's use until I ran into a challenge that needed it.
Levels are way too long. Boring. Nothing interesting happens until level 2. Totally won't replay this for score if that's what I need to repeat to get to the fun/challenging parts.
It's particularly irritating having to keep a mental count of jumps to know when I can float, particularly when the triple jump powerup kills me because my muscle memory still thinks I can float after the second jump. I suggest letting the player float if she's holding the jump button past the apex of any jump, not just the last.
What's the deal with the life counter? Vestigial UI element from an earlier design?