I've logged a few hours on the cady carb...a finicky little contraption if I do say so! If you are going to work on the one you have, disassemble everything, run a strand of stiff wire through EVERY orifice, remove the diffuser (but note its exact position in the housing) and ensure that the tiny pin holes of the idle circuit are not gummed up, soak the carb body in heavy-duty cleaner (Tip: drop it off at your neighborhood hot rod shop. They do all kinds of carb work and they have some intense carb cleaner). After the soak, get them to blow out everything with compressed air. (If they're a decent shop, they probably won't even charge you!)
And if you need an air filter/box, I have one to offer up.