Plot hole: When Danny tells Michelle to change out of her punk get-up, Michelle does, and she comes back shortly after with her hair arranged perfectly in a nice half ponytail. However, in her previous scene, she had used hairspray to make her hair all frizzy and going every which way, so it's physically impossible that she got it to be completely straight and clean again, unless she went home and washed it.
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.
Other mistake: When Danny falls overboard off the boat and into the water, you can hear the water splash, but you never see the water. Same with Joey, he dives off the boat, but you never see the water splash up. You would think you would see water splash up especially since how Joey jumped in. That would create a big splash.
Other mistake: In the opening credits when it shows their house, you can see the garage is located in the front of the house. But when the family goes down to the garage or Joey's room when it was later transformed, they used the stairs all the way in the back of the house to go down to the garage. So that would mean the garage is really big, (which it isn't when you're inside it or its not the same house).
Continuity mistake: When Joey is ironing, DJ starts talking right as Joey sets the iron down on the ironing board in front of him. Then Joey starts talking and the iron is still in front of him. But while he's talking the shot changes and the iron is now seen behind Joey on the countertop. Then a few seconds later the iron is on the ironing board again.
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.
Other mistake: At the beginning of the episode where the twins and Joey are doing handprints in plaster, Jesse walks to the kitchen to put the plasters away, comes back to the twins and only wipes one of the twins' hands. The shot changes to Joey for a short couple of seconds then back to Jesse, who is finishing wiping the same twin's hands, now saying that both boys hands are "de-icka-fied." Also, before he started wiping the one twin's hands, the kid lifted his hands up in view and they were already clean.