Flowers for Your Grave - S1-E1
Continuity mistake: When Judge Markway signs the warrant on Castle's back, the paper changes position between shots, and there's a white sheet between the board and Castle's back that is folded in the wider angles but sticks out straight in the close-up. (00:36:20)
Nanny McDead - S1-E2
Continuity mistake: When Beckett takes the call at the beginning of the episode, her fingers change position on the phone between shots. (00:00:50)
Nanny McDead - S1-E2
Continuity mistake: At the precinct as they are watching the security footage from the elevator, a small bit of Beckett's hair keeps moving back and forth over her right ear throughout the scene. (00:06:55)
Nanny McDead - S1-E2
Continuity mistake: Castle is on a break at home. Alexis asks him "Who got killed today?" He's putting the cap on a spice dispenser, empty. When she follows with "Do they know who did it?" the dispenser refilled. He then puts it down, but it's back in his hands at the cut. (00:09:10)
Nanny McDead - S1-E2
Continuity mistake: When Alexis punctuates her Grandma's statement saying "you were the crazy homeless woman", she is holding the big wooden spoon up, but it's down against the rim of the bowl in the next shot. (00:09:35)
Nanny McDead - S1-E2
Continuity mistake: At the loft, Alexis is putting away the leftovers and clearing the kitchen. Her hair moves back and forth over her right shoulder throughout the scene. (00:10:30)
Nanny McDead - S1-E2
Continuity mistake: When Castle's mom says she's 1/4 responsible for Alexis' genes, the glass in front of her has merely a few drops left in it. When Castle leaves and she calls him "flatfoot", the glass is still mostly empty but there's about twice as much wine left. (00:10:30)
Nanny McDead - S1-E2
Continuity mistake: When Castle makes the joke about Kate being both controlling and disapproving, his elbow is on the right, then on the left of the railing bar. (00:16:50)
Nanny McDead - S1-E2
Continuity mistake: Interviewing Chloe, the protagonists tell her that Sara's ex thought she had a new guy. Look at the cyclist in the background (that already made an appearance earlier); he reappears in the next shot as she goes "Uhm...", and he moved backwards. (00:18:15)
Nanny McDead - S1-E2
Continuity mistake: Castle and Beckett are walking with Mr. Peterson asking him about the possible affair. He says that she was making "Us" dinner; there's a woman in the background, grey coat and a scarf. The scarf changes position at the cut when they call him out on the pronoun. (00:20:25)
Nanny McDead - S1-E2
Continuity mistake: When the sleazy husband says "We had sex, okay?" he is wearing a ring on the middle finger of his right hand. When he answers Castle's question the ring moves to the fourth finger. (00:29:45)
Nanny McDead - S1-E2
Continuity mistake: Esposito suggests going pick Chloe up. Castle interjects, and Beckett turns towards him; she was leaning against the doorframe but removed the hand, which is back on the frame in the next shot. (00:30:55)
Nanny McDead - S1-E2
Continuity mistake: After talking to Alexis at the end of the episode, Castle closes his laptop and puts it on the desk. He looks for the picture frame, and in the background you can see in two shots that the laptop is open. Wider angle, it's closed again. (00:40:15)
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)
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
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.
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.