The episode was set in October but the calendar in the classroom was February.
Jesse admits giving Michelle bad advice after she pinches Stephanie for taking her lamp. Stephanie taking her lamp is very different from Aaron taking her cookie and then pinching her first, and the situations should not even have been compared to one another.
In this episode, the preschool teacher introduced herself to Jesse as Mrs. Manning. When Michelle started preschool, she introduced herself to Danny as Miss Petrie. Unless it is assumed the character got married in between these episodes, this is a name faux pas.