I really don't see why people have a hard time understanding the plot of this game. It's simple enough. Your crab likes crystals and dislikes dying. Collect the former and avoid the latter. A fun little game, and not unpleasant to look at.
If the game crashes for you when you try to get in to see the king, reload the game and load the auto save that was created when it froze. That was all it took me to get it working again. Sadly this won't fix the badge issues.