I found the badges REALLY easy. Some levels were exasperating, but they're doable. I think the impossible should be hard, but hey, I won't argue with 60 points.
Now to submit the bug report..... :S
PS. The game is good.
Try using a katana (or a a two-handed weapon with high max dmg), a 'of sacrifice' equipment, and raise STR, your weapon's skill, intelligence and art of war and patriotism (int is needed for the latter two and increases dmg and hp).
And once again I see people complaining about not being able to mute the game. If you don't see a mute button at plain sight, try and stop the game. Most of the time it will be there.