figured a blanket comment might not be taken at fase value, so... 2-2: put triangle on side, drop between towers. all three fall. Put right angle pointing down and right on the upper left of ball, rolls left and damages 2 glass blocks. drop the heavy block to left of center over the glass blocks, all three shatter, heavy block rolls off. Perfect score.
the badges can be as simple as getting some of the achievements. like solve 25 games in a row, that'd be a medium/hard one, solve a murder w/ 15 time left 9 games in a row could be hard, etc etc.
 "Imperfect Balance"){kind=icon}
 "Super Marine"){kind=icon}
 "ClueSweeper"){kind=icon}
 "SteamBirds"){kind=icon}
 "Sushi Cat"){kind=icon}
 "Tower Core"){kind=icon}
 "Raze"){kind=icon}
 "Robot Wants Kitty"){kind=icon}