Continuity mistake: When Jesse and Becky are about to get married, Jesse goes sky diving because he says he hasn't done it before and is afraid he won't get the chance once he's married. In an earlier episode, a woman (from Rome?) comes to the house and tells Joey that they met when Jesse was sky diving and landed in her Alpha Romeo.
Continuity mistake: When Stephanie is pitching against the Cubs, they show the back side of her, and she has a lot more hair than when they do the closeup. And it's more blonde. You can also tell it's two different people because their pitching motion is different.
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.