Revealing mistake: Oliver and Eb cast shadows on the painted backdrop as Mr. Haney drives up.
Other mistake: A shallow tray of pancake batter is cooking on the stovetop. The coffee pot boils over and its round lid shoots into the air. Even though the lid would be extremely hot, Lisa catches it with both hands and uses it to cut four pancakes.
Plot hole: Oliver and Lisa are in a truck, taking a load of apples to the Farmers Market in the state capital. Oliver says it's a "15-hour drive." Driving 30 miles an hour, that would be 450 miles. Driving 40 miles an hour, that would be 600 miles. It was never specified where Green Acres is located but only Alaska, Texas and California extend for such a distance north-to-south and/or east-to-west.
Suggested correction: He doesn't say it's a 15-hour drive. He says it's a 15-hour trip, which could mean the drive there and back total 15 hours. Or he could be taking into account all the times they'll be stopping and traffic. Not to mention that the driving distance between two cities is always greater than as the crow flies. Two cities might be 100 miles apart but the drive may end up being 150 miles.
Other mistake: Mr. Haney is suing Oliver Douglas. While on the witness stand following a recess for lunch, Haney taps his right cheek and tells Judge Clemens, "You have some ketchup on your cheek." The Judge wipes his left cheek with a handkerchief.