Continuity mistake: While Kelly is being interrogated in the interview room by Nick, her hair changes between shots. Close-up it hangs loose. In the wide shots both sides are tucked behind her ears.
Room Service - S6-E2
Continuity mistake: When Warrick is in the hotel room at the start, the corpse's eyes alternate between open and closed.
Continuity mistake: When Nick "attacks" the kidnapper in the interrogation room, a single tear falls down from the boy's left eye. When the shot changes to a different angle, the tear is coming down from his right eye.
Answer: The episode on CSI:NY was called "Love Runs Cold" and first aired on October 4, 2006 (Season 3, Episode 3) and involves the investigation of a model found stabbed to death by an ice dagger.
OneHappyHusky