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: 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: 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: 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 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: 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)
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: 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: 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: 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 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)
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.