The "Stand by Me" movie poster in Adam's bedroom is on the wall above the head of his bed, but in the next bedroom scene it has moved to the windowless side wall.
Murray's car has an inspection sticker of 1/86 making the current year sometime during 1985. The Flyers game they went to was likely during the 85/86 season and Ron Hextall did not play for the Flyers that season (he played for the Hersey Bears). His first season was the 86/87 season for the Flyers and his first goal came against the Bruins on December 8, 1987 (the 87/88 season). Additionally during this era of hockey home players wore their white jerseys as compared to their colored jerseys.
The expiration of the car and the year Ron Hextall played for the Flyers do not match.
The goal judge behind the goal is missing--they were used in the NHL through the 2018-2019 season. The Goldbergs' seats at the Flyers game would be right next to the judge's glass box.