Captain Holt wears his Commendation breast bar above his World Trade Center Breast Bar. When the WTC bar is worn, it is worn above all other medals, but below the American Flag bar.
Amy and Jake create a hookup app profile to catfish the Vulture on Amy's computer. Hookup apps are only available on mobile devices such as phones, not computers.
When Charles insults Terry's kids in the briefing room and Holt has to hold Terry back, Stephanie Beatriz (Rosa) can be seen just to Charles' left, covering her face and trying to suppress laughter.
When Charles is being dragged by Sergeant Peanut Butter, his face goes from up in the closeups to down in the wide shots, attempting to hide the obvious use of a stunt double.
At 2:45, when Charles remarks that Terry's kids are not geniuses, Rosa (Stephanie Beatriz) can be seen covering her face with her hand. The actress was hiding her laughter from the remark.
The misunderstanding between Terry and Teri hinges on the fact that Teri, a uniformed officer of the 99th precinct, doesn't know that Sergeant Terry Jeffords is also named Terry. Terry is second in command of the 99th precinct. There's no way any officer there wouldn't know the name of their commanding officers.
When Boyle looks up "Charles Boyle medal of valor" and shows his phone, the search bar has "Peanut butter the horse" in it instead.