Continuity mistake: During most of the show Billy is wearing a shirt and vest. When he starts to go outside to face his ex partner it shows him wearing the vest. When he stands up to go outside he has coat on. When he gets outside he's back in the vest.
Continuity mistake: During the street fight, Gene Barry's stunt double wears a shaggy wig that gets badly disheveled in the brawl. In the intercut close-ups of "Bat" throwing punches, however, Barry's hair is short and neatly groomed. (00:06:00)