In terms of basic movement and appearance it's good. The character moves smoothly and the jump distances feel good, and the background and animation is clean and pretty. A few suggestions:
1. Leave the zoom distance at one setting. Being able to clearly see how you're moving and where you're going is critical for a platformer.
2. For the same reason, place the screen shifts so that they're not mid-jump or right next to a deadly drop or other hazard.
3. Hold down to look down. Hold up to look up is already available, and down is even more important for seeing where you might land.
4. Moderate the repeat damage from spikes. It was very easy to die from a single slip in the corridor of spikes after the "Did I just tempt fate?" sign.
5. Consider having separate buttons for activating chests and jumping. You want to be able to control which you're using when there's an enemy approaching or you're on a small platform with a chest.