When Kimble tells Deputy Shirky Saulter about the money of his fellow prisoner, his hands move between shots.
In the closeup the gas station attendant cleans the passenger side of the windshield, and the driver's side is still dusty, but when the scene switches, the entire windshield is clean as the truck is driven away.
The garage man fires a shotgun at the girl by the door and she only sustains a small shoulder wound. A shotgun would have blown her entire side open.
The calendar in the Sheriff's office has 28 days, so it is February. The first of the month falls on Tuesday. The closest year prior to 1964 that happened is 1955 which is clearly not the year the program is set.
When Shafter pushes McClure away from the bars after he attacked the reporter, McClure bumps into the back wall and it wobbles.
During the closing scenes, Tad drives Kimble away from the town after he escapes. As they drive away one can see the gear shift is in the "park" position during their conversations.