Revealing mistake: Bo and Luke Duke's car the "general Lee" usually has no glass in the side windows due the doors being welded shut as per NASCAR regulations which is why they climb through the windows to enter and leave the car, but when the general is doing one of its many jumps, in the long shots there is glass in the side windows.
Factual error: Throughout this entire season, Bo and Luke left Hazzard to become Nascar drivers. This wouldn't be allowed as part of their probation legally prevents them from leaving Hazzard County.
Suggested correction: First off, in s01e01, the show starts where it had already been a year since Bo and Luke were put on probation. However, they were only given 5 years probation and this takes place in season 5. However, in the show they were allowed to leave Hazzard County with permission from a parole officer, so even assuming they're still on probation, they could have had permission without showing it on screen.
Visible crew/equipment: After the fertilizer truck carrying slot machines is intercepted, when Daisy runs off just as Luke and Bo place hoods on the men, two white tape marks are visible on the ground where Daisy had been standing. (00:16:30)
Other mistake: When Enos is chasing the boys through the town square, you see the General Lee parked in a parking spot, but the POV is meant to be from the General Lee.
Swamp Molly - S1-E6
Audio problem: In Hogg's office in the Boar's Nest, after Roscoe tells of the activities, Boss goes to put the needle back on the record. Trouble is, the record doesn't move until Boss turns it, but the music started before the record moved.
Route 7-11 - S1-E12
Visible crew/equipment: At the farm, Luke is trying to sweet talk Jesse. As Luke crouches, the shadow of the boom mike is moving on the wall.
Continuity mistake: In the previous episode, Boss Hogg had a large brown mole below and to the right of his mouth. In this episode it's gone.
Daisy's Song - S1-E2
Continuity mistake: In the close up shots of the General during the junkyard chase, Daisy is sitting between the boys. In the shots from the car being chased, she appears to be in the back seat, looking over Luke's left shoulder.
Visible crew/equipment: As Bo gets out of the General at the orphanage, you see the light panel reflected on the vent window, and the shadow of the camera and operator on the ground at the bottom left of the shot.
Continuity mistake: As Bo and Luke pull up to the wrecked Sheriff's car, the roll bars are not in the General. As Bo climbs out, the bars are suddenly there.
Audio problem: As Jesse, Bo and Luke are about to leave after Jesse bails them out, Jesse says "C'mon." It's voiced by someone else. (00:05:50)