Continuity mistake: During breakfast at Castle's loft a jug full of orange juice disappears off the kitchen island when Castle answers the phone. (00:01:40)
Continuity mistake: When Beckett is interrogating the drug dealer, in shots from behind, only her right hand is on the table. In shots from the front, both of her hands are on the table. (00:09:20)
Character mistake: When the private investigator shows Castle and Beckett the VIP Liaisons website, "Liaison" is misspelled "Liason." (00:17:40)
Continuity mistake: Alexis has just walked into Castle's study and is relaying a message from his publisher to her dad. She holds the note differently in consecutive shots. (00:30:20)
Continuity mistake: Castle asks his daughter what she would do if she needed a quarter of a million dollar, just like the murdered victim. She answers that she would ask him for it. Watch her necklace. It jumps in and out of her top. (00:31:10)
A Chill Goes Through Her Veins - S1-E5
Continuity mistake: When Castle and Beckett visit Mr. Davidson, he comes out chasing his two grandchildren - a tall girl in a red jacket and another one who's slightly shorter in a light pink jacket. When the detective and Castle walk up, the grandkids have switched places. When Mr. Davidson says, "Did I scare you," Beckett has her hand in her jacket, but when Beckett says, "Mr. Davidson," her hand is not in her pocket anymore. When Mr. Davidson says, "Why don't we go inside," Beckett is putting her badge in her pocket, but in the shot before she already put her badge in her jacket. Finally, when Mr. Davidson says, "Alright!" the girls have switched places again between shots. (00:09:50)
Home Is Where the Heart Stops - S1-E7
Factual error: The shots of the West Side towards the end of the episode are reversed: you can see traffic on the West Side Highway moving in the wrong directions. (00:40:10)
Home Is Where the Heart Stops - S1-E7
Visible crew/equipment: When Castle and Beckett step into the elevator whilst talking about The New York Review of Books, a cameraman is reflected in the left door of the elevator as it closes and the scene ends.
Home Is Where the Heart Stops - S1-E7
Continuity mistake: After the two talked to the victim's daughter, Castle buys Beckett a soda. The way he holds the can as he hands the soda to her changes between consecutive shots.
Home Is Where the Heart Stops - S1-E7
Continuity mistake: When Esposito pulls up Evan Mitchell's rap sheet, it says he is 5'9", but in Mitchell's mugshot, the top of his head crosses the 6' mark.
A Death in the Family - S1-E10
Continuity mistake: Episode 1-10, "A Death in the Family": when Agent Sorensen offers Beckett a part of the sprinkled donut, the location of where he holds it changes between shots. (00:23:50)
Fool Me Once - S2-E4
Continuity mistake: Castle and Beckett corner the con woman in her car and she flashes her badge. The way she holds it differs between shots from outside the car and inside the car.
Fool Me Once - S2-E4
Continuity mistake: When Beckett goes to the bathroom to read Castle's book and Castle peers over the top of the cubical to tell her what page the sex scene is on, she is holding the book with her fingers between the pages dividing the book into 2 sections. These 2 sections switch to 3 and then back to 2 between shots.
Continuity mistake: In episode 2-5, "When the Bough Breaks," when Rick is talking to his mother regarding handing out her pamphlets at his book signing party, he opens his beer and throws the cap on the counter, when the shot changes you see him opening the beer again.
Continuity mistake: When Castle gets back from helping Alexis with her friend and thanks Beckett for taking care of Fagan (Alexis' egg), just after her line, "Yeah well, he was easy. He didn't even fuss when I put him to bed", Ryan and Esposito come in and Ryan is holding a missing persons poster of Elizabeth McGinty. As soon as they walk in, Ryan is holding the poster with the front facing the camera. But two shots later he is holding it with the back facing the camera.
Audio problem: When Beckett is talking to Matthew's family about his "personal ghost," as his sister put it. About half-way through her line, "I showed some of Matthew's drawings to one of our therapists and he said it looked like he might have witnessed something disturbing, seen something very violent", there is a shot from behind Beckett facing Matthew's parents. In this shot, Beckett's lips don't match what she is saying.
Continuity mistake: In the opening scene, when the rider is knocked off his bike by the car, the bike ends up under the front wheel of the car. When the perpetrator drives off, the bike is some distance away from the car.
Continuity mistake: When Beckett, Castle and Capt. Montgomery are walking through the precinct, after Castle and Beckett checked on Alexis as she had been categorizing personal belongings, and Castle is talking about how he watched Alexis from the bushes the first day of preschool; Montgomery states he followed his son's bus all the way to the Adirondacks. In the final episode of season 3, Montgomery had his two daughters, and wife at his funeral. There was no son.
Factual error: In the beginning of the episode, the neighbors do not hear shots fired because the murderer uses a homemade silencer. At the end, when they find the murder weapon in the dumpster at the murderer's apartment, it is a revolver. Silencers (homemade or otherwise) do not work on revolvers because the gas escapes from the sides, not exclusively the end of the barrel.
Continuity mistake: When Kyra introduces Greg to Castle, Greg takes Kyra away to greet the new arriving guests. He places his left hand on her right shoulder twice between shots.
Answer: The networks are now having winter breaks. A mid season end of new episodes, when they come back after the new year, it picks up as if several months have gone by. Beckett suggested Valentine's Day as a "chick flick" to watch as she is moved in. Also some episodes are not scheduled to air in order.