Plot hole: When Jesse and Michelle wake up in the morning, you can see that the picture Danny got was behind the couch, resting on the seat in the alcove. Later, when Danny goes into the living room and screams, Shorty is standing in the middle of the room, with his head in the picture, and the picture is facing the family. There is no way that the donkey could have put his head in that way.
Plot hole: When Stephanie and DJ start singing that dad song in their room, Michelle come in and starts singing. After she goes, DJ and Stephanie have a talk. After two minutes, Michelle comes in, dressed like they are. How could a 4-year-old girl change to teenage clothes and fix her hair in two minutes? Danny was in his room (because he found the baking soda), and Jesse and Joey were too busy with Jesse and Becky's room to help her change.
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.
Plot hole: When the Tanners are having their family meeting about moving to a new house, Jesse shares a story of an incident in the house which occurred on March 4, 1989. He says that, on that date, Danny painted the banister without informing anyone beforehand, and that Jesse slid down the banister on his way to a job interview. But if this happened in March of '89, then Jesse already had a job working with Joey in advertising, not to mention his own schedule with the Rippers band. And as busy as Jesse was in these two areas, there would've been no need for him to work an additional job.