I had a bit of trouble getting my Pokemon sqaud to the second gym (Bugsy's gym). I had been training them all for ages before hand and most of them where nearing level 13, but by that point those ones weren't obeying my orders and were listening to maybe one out of five of my commands.
I only just scapped though in the gym battle mostly from luck that the creatures where so strong that they could take a pounding and dish out hefty blows as well. Anyway, I found out that the second badge makes all creastures up to level 30 obey.
So my question is: What are the level limitations of each, as well as the rewards of gaining all the badges after the Hive Badge?