A very similar scene involving multi-step language translation appears in I Love Lucy: Paris at Last (1956). Lucy gets in trouble with the police and the questions asked by the police lieutenant in French are translated into German by a detective, from German into Spanish by a civilian in the police station, and lastly from Spanish into English by Ricky. Lucy's answers are translated back for the lieutenant and the scene contains many of the same gags as the scene in this episode, such as the translators "translating" physical gestures and wordless expressions like "ehh."
Niles states that he drove to the Oregon border check and that he had fruit in the car and had to turn back. There is no Oregon border check between Washington and Oregon. The closest Oregon border check is between Oregon and California.