Very cute and fun game!
Im' not sure about the sword swipe mechanic; itis cool but it need a little fixing to make it feel better while playing. I dont know exactly what though.
As for what I would change; the text on the spaceship part it's difficult to read when the white sun is where the text is.
And also, for teh spaceship part, the collisions seem unfair; the shapceship box collision is too big (or the rocks one, i dont know) and a lot of time you crash without feeling like you should crash.
for the rest, it is pretty nead, good job!