The Simpsons been given a warning for running over Captain Jack, yet they haven't been arrested from evading authorities or stealing an Amtrak snack cart.
The Simpsons family are sentenced to work in a chain gang, which stopped being a punishment for a crime in Florida years ago. Alabama continues using chain gangs for limited circumstances. Juvenile offenders and people over 50 cannot be punished by chain gang.
When the Simpsons drive through the train track to escape the sheriff, there is only one track shown and the car is lying on the driveway, after they are relieve they are then suddenly on another track before being hit by the other train.
When sheriff sets fire around The Simpsons, few moments later fire disappears.
The Simpsons are all given the same sentence. Even though as minors, Bart and Lisa should have been sent to a juvenile facility, and Maggie as an infant is legally incompetent and thus should be exempt from punishment.
The sheriff should have been punished for abusing his power.
It is mentioned that the Simpsons are banned from 48 states, but they visit some of these states in later episodes. Obviously, the states either forgave or forgot about the Simpsons, or it may have been said in jest.