Jesse's name is misspelled as "Jessie" on the sign on the judge's table at the beauty contest.
In the first scene of the Boar's Nest, before Bo and Luke arrive, the yellow car they arrive in is parked next to the General Lee. When they arrive the car isn't there, and they park next to the General.
Unless a deal was worked out, it would not have been possible for the Dukes to travel on the NASCAR circuit while still on probation.