Character mistake: Carl, carrying his gun, goes up the outside staircase before entering Frank's apartment. When he encounters the frightened cleaning woman, he flashes his F.B.I. badge at her to identify himself. However, he only shows her the back of the black I.D. wallet, which has no markings on it.
Suggested correction: This was undoubtedly an intentional choice by the filmmakers. Given that most of Carl's work takes place in an office, it's entirely plausible that he would feel nervous when stepping into the field to apprehend a suspect. The scene emphasizes his anxiety through several deliberate actions: he fumbles for his gun, incorrectly displays his badge, and even holds it upside down if you look closely. These details subtly underline Carl's unease in high-pressure situations.
Continuity mistake: In the scene where Frank's parents have been informed of their son's impersonation of a French teacher, Frank is seen through the window of the office. At this point, when he flashes a cheesy grin, his hair is a mess - presumably to remind us that he is still only a young, cheeky schoolboy. However, upon his parents leaving the office, Frank's hair is perfectly styled again in a neat side parting. (00:21:30)
Suggested correction: The meeting stretched on for at least five minutes, giving Frank ample time to straighten himself up. Running a comb through his hair – or even just smoothing it with his fingers – would have taken mere seconds.