Nice mechanics.
Works smooth and looks good.

Do you use your custom collision system?
Is the level block or modelbased?

I would place the controls a bit differently though.
(Cursor up for jump, and space for any special action.)
best is to have several keys mirror the controls.
So everone can use the keys whichever he likes.

And I would reduce the gravity a bit, and/or slow down the speed
to keep it more casual.

Little glitch:
The jump-force should stop when hitting a (moving) block above,
Else the player sticks to the roof a short time.