Visible crew/equipment: After John finishes checking on John-Boy's car, when it cuts to the kids in the bathroom, note the vanity mirror's reflection. In between Mary Ellen's and Jason's reflections, we can see an older man wearing black glasses, yellow shirt, and blazer, who is standing outside the bathroom's doorway. We continue to see the reflection of this crew member in the mirror when Jim-Bob and Ben go at each other. (00:04:25)
The Conflict - S3-E1
Other mistake: After seeing the new house, Martha Corinne and Esther are at the back of the truck talking while John is driving home. During their conversation the truck is not actually moving (it's shaken to give an impression of movement), as we can see no change in scenery through the small rear window and at the left side of the screen in shots facing Esther. Additionally, Olivia is visible through the rear window sitting in the front seat, and she's wearing dangle earrings, which she does not wear in the scenes before or after (presumably it's the stand-in sitting in the seat). (01:01:10)
Visible crew/equipment: Near the start, when John walks out of the barn he decides to check on John-Boy's car so he sets the bucket down. Just as John walks beside his son's car, the reflection of the camera and camera operator wearing a baseball cap is visible on the windshield, as the dolly tracks backward. Even while John checks it, we can see the camera operator's baseball cap turning a few times in the reflection. (00:03:50)
Visible crew/equipment: When John-Boy is on his way to Boatwright and Polly flags him down, just as John-Boy pulls over and then backs up, the reflection of the location's 9-light par bank lighting is visible on his car's windshield. (00:10:55)
Visible crew/equipment: While John-Boy is on his way to the library he drops his books just as he sees Selina, then when he picks them up and heads inside, the reflections of the camera and a crew member are visible on the left door. (00:17:15)
Visible crew/equipment: After Selina finishes the exam she shows up late to meet John-Boy, and when she enters the cafeteria there's a T-mark on the floor where she stands. (00:29:30)
The Conflict - S3-E1
Other mistake: While Martha Corinne is standing in front of the bathroom sink in the new house, we see her height compared to the mirrored medicine cabinet above the sink, and Martha Corinne is quite a bit shorter than the mirror's knob, even with her bonnet. When she reaches up to open the cabinet door, in the next closeup from behind her she is now taller than that knob. For this specific closeup The Actress was presumably standing on a stool, in order to have the perfect shot of her turning her head, then being surprised by her own reflection in the mirror. (00:54:00)
The Conflict - S3-E1
Visible crew/equipment: While Esther is pointing out of the features of the new house's bathroom to Martha Corinne, two tape marks are visible on the bathroom floor in front of John and Olivia's feet. Then after Martha Corinne turns the lights on and off a few times, as they all walk toward the kitchen there are white tape marks visible on the kitchen's linoleum floor. (00:53:50)
The Conflict - S3-E1
Visible crew/equipment: After Blake and the U.S. Marshals show up for the final standoff, when John-Boy runs over to stop Blake's truck, the reflection of a crew member is visible on the left side of the windshield. (01:29:50)
The Conflict - S3-E1
Visible crew/equipment: Before Martha Corinne gets in the truck, when Mary Ellen tells Jim-Bob and Ben to quit eating all the berries she takes the bucket away, and as Jason turns around we can see the shadow of the moving boom mic on the seat at the back of the truck. The reflections of crew are visible on the cabin's window. (00:31:30)
The Conflict - S3-E1
Continuity mistake: Boone Walton's truck license plate number is T98254. When Blake and the U.S. Marshals drive up for the final standoff, Blake's truck license plate number is also T98254. When John-Boy runs up to Blake's truck to confront him, his front license plate number has changed again to T79825 (same as earlier, when Blake unloaded explosives), which is also the same plate number that was on another man's truck near the start of the episode. Finally, when the shooting starts and Blake's truck swerves to a stop, the back plate number is T37982. (01:27:55)
The Spoilers - S3-E8
Other mistake: During the somewhat pointed discussion with the Hanover family at dinner, Olivia suddenly has the girls help clear the table when all their plates are still full, which wouldn't happen during a depression with money so tight.