Continuity mistake: The position of Blackie's fingers on Audrey's chin switches depending on the angle. From behind, her fingers are straight; from the front, her fingers are scrunched up/bent.
Continuity mistake: When the three drinks are placed on the bar in front of Cooper, the sheriff, and the judge, the amount of foam on top of each drink changes drastically between angles.
Continuity mistake: When James is talking to Evelyn Marsh after fixing her husband's car, Evelyn's hand jumps from her lap to the steering wheel between shots. (00:22:00)
Continuity mistake: When Cooper is at the police station describing the events of the night of the murder, he is seen taking a doughnut and placing it on the napkin next to him. A few shots later his napkin is empty and the doughnut is back on the stack.
Continuity mistake: When Mike Nelson asks Donna for help in dealing with Nadine, Donna's right hand is inside her locker, looking for something. It then mysteriously jumps to the top of the stack of books she has in her other hand. (00:12:45)
Plot hole: More than 24 hours after Ben is arrested his daughter Audrey comes and asks Cooper if her father was arrested. How has she not noticed that he is absent and in jail?
Answer: The answer to pretty much any question beginning with "Has David Lynch ever explained _______?" is: no.