The writing on the chalkboard keeps changing.
Beverly's hairstyle constantly changes from her trademark "blown out" style to a more "down" style throughout the episode. Most notably when after Barry invites her outside to watch him dunk near the end.
Adult Adam narrated that The Weather Channel had been added to the "five channels" everybody only had back then, forgetting that one would need to subscribe to cable to have The Weather Channel and it would've been among the 50-60 channels most cable lineups had at the time.
Murray mentions Doppler radar weather forecasting. Doppler radar was not used for weather forecasting in the United States until 1988 and the term did not enter the public lexicon until the mid-1990s.