Spoiler! Sneak Peek of Castle Season 5, Episode 15, “Target”: Castle Finds Alexis's Cell Phone! Tweet February 15, 2013 at 10:27AM EST by Afiya Augustine Related: Castle, Spoilers , Sneak Peeks , Previews , Season 5: Episode 15 Credit: You Tube Castle and Beckett become worried about Alexis when he finds her cell phone in this clip 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.