I didn't finish the game (only reached level 9, if I remember), the last level is really too much a game changer, it's always risky to make a challenging game without frustrating the player, aside, I find it interesting you were conscious and you decided to let the player skip the level.
The ice cream is really too easy to get; try to place them at some difficult point.
Just because there's only one level design, you should improve the level design.
And now, let's see the positive points: 10 levels, a challenging game, the difficulty increase is pretty great, you die, you restart instantly, the mechanic and theme are super great.
You got a really impressive game, congrats!