Sokka loses his boomerang at the beginning. A short while later when Aang is first thrown in prison, however, his boomerang can be seen on his back when Sokka says "airbending."
When Aang first spins the wheel of punishment and it lands on boiled in oil, the punishment to the right is landing on spikes. However, when the Rough Rhinos attack and the leader needs Aang's help, he moves the wheel to the next square on the right, which is now community service when it was previously thrown on spikes.