Apparently the easy badge only requires you to collect 500 candy total, not 500 in one game. As my total for my third attempt (4 Ninja team) was 618 candy, this seems overly generous.
Because of a lot of upgrading, I was (probably needlessly) worried I would run out of cities to destroy before I hit Gold Digger III. Then I ran into Tselinoyarks. Thank you Tselinoyarks, for putting up a fight.
Got the medium badge, trying to figure out how to do the "upload your family" thing (Select a Custom Family, ???, Beat Family, Profit?)
Some sort of Badge for getting all the special items might be an idea, btw...
So... which is the ship which has immunity to the green bolts? Also, either Auto-Fire or Auto-Turn (or at least Turn-The-Way-The-Ship-Is-Moving) would be greatly helpful, to cut down on the number of things you are trying to get your fingers to do at once...