Spoiler! Sneak Peek of Castle Season 5, Episode 15, “Target”: Castle, Beckett, and Esposito Watch Shocking Footage! Tweet February 15, 2013 at 09:37AM EST by Afiya Augustine Related: Castle, Spoilers , Sneak Peeks , Previews , Season 5: Episode 15 Credit: You Tube Castle, Beckett, and Detective Esposito review shocking crime scene footage in part one of the two-part Castle episode. Original Air Date: Castle Season 5, Episode 15: "Target" airs on Monday, Feb. 18, 2013 at 10 p.m. ET on ABC.