High schools - especially public ones - don't have laundry hampers.
Principal Perry lassos a llama in this episode. The rope ends up appearing under the bridle which would have been impossible.
A gym class boy towels his armpit while he's wearing a t-shirt, thereby rendering the action useless.
Adam believes Dewey the Dingo standing in the hallway means six more weeks of winter. This is akin to Groundhog Day, which befalls the start of February. Principal Perry talks about "the big homecoming game" against a rival school. This usually means football, which occurs before the onset of winter at the end of November or possibly the start of December. You can't expect six more weeks of winter when winter hasn't arrived yet.