Continuity mistake: In "One Last Kiss", Jesse goes to his high school reunion and then in the flashback, he rides his motorcycle into the gym and says to his girlfriend, 'I'm graduating tomorrow, what are they gonna do, expel me?' indicating that he graduated. But in this episode, Jesse says he's a high school drop-out and he needs to take an English class.
Continuity mistake: In the final act, when the twins are dressed in Elvis costumes, Jessie throws the red scarves to the crowd. When he picks the twins up to bow, the scarves are back. As the winners are being announced he even removes a scarf although they were thrown to the crowd.
Character mistake: In the scene where the twins erased Jesse's report, he first stated he just finished page 12. When the twins push a few keys it shows the laptop screen and it started with the top of the report and scrolled down maybe one page. The shot changed and the twins hit one more button. Shot changed back to laptop and it was at the bottom of the report, which if paid close attention from before when it scrolled one page down its the same words as before making the report 1 page long, not 12.
Continuity mistake: Throughout this episode, Jesse and Becky are talking about how it is their anniversary. However, it is neither their dating anniversary which took place in January (See S2E11 A Little Romance) nor their wedding anniversary which took place on Valentine's day (See S4E19 The Wedding: Part 2). The House Meets Mouse Episode was a season finale which took place in May.
Continuity mistake: In the scene toward the end where Uncle Jesse reads the paper that says his twins are accepted to a certain pre-school. He crumples the piece of paper and tosses towards a small trash can. You see the paper would have missed and landed past the small trash can onto the couch, but in the next shot before the paper would have landed on the couch, it lands right in the small trash can.
Plot hole: At the end of Joey and Jesse's radio interview, the host Julie says "Joey Gladstone." However this appears to be the first time she's met him and when Jesse introduced him to her a few minutes before (in real time), he referred to him only as "Joey" and never once told her his surname nor is it mentioned in the interview. Furthermore, she also said she wasn't aware of The Ranger Joe Show so it doesn't make sense for her to suddenly know his last name minutes later when she was never told it previously.
Continuity mistake: When Michelle turns the music on for them to dance, she lays the player down on the table on its side. It is then still in this position when Danny enters the room, however as he goes to turn the music off, it's suddenly upright without anybody having touched it.
Continuity mistake: When Jesse and Becky first enter Bouton Hall with the twins Jesse is holding both twins. He hands a twin wearing a blue vest to Becky. Jesse talks about embellishing the application and Becky hearing strange things. After she says "What strange things?" the camera switches to Jesse and he is holding the twin in the blue vest.