Factual error: When Hopper's daughter is dying in 1978, the staff says that the pulse oximeter is dropping. Pulse oximeters were not commercialized until 1981/1983 and not in widespread use until at least the mid 1980's.
Chapter One: The Vanishing of Will Byers - S1-E1
Factual error: The boys need Will to roll a 13 to hit the Demogorgon with the fireball in the DnD game. Fireball is an automatic hit. Players roll for damage only. They mention the 13 needed to hit in the final episode as well.
Chapter Two: The Weirdo on Maple Street - S1-E2
Factual error: When Steve and Nancy are making out, the intro to "A Hazy Shade of Winter" by The Bangles plays. While the original version of the song was released by folk-pop duo Simon and Garfunkel was released in 1968, the version heard here was released in 1986, 3 years after the scene takes place. (00:52:30 - 00:55:40)
Chapter Two: The Weirdo on Maple Street - S1-E2
Factual error: When Chief Hopper and his fellow patrolman are standing over the lake, Hopper has a radio on his belt. The radio is a modern Motorola walkie talkie and at least a decade newer than it should be.
Chapter Four: The Body - S1-E4
Factual error: When Chief Hopper cuts open the fake body of Will, it appears that he opens a knife with a thumb assisted blade which wasn't invented until 1995.
Chapter Five: The Flea and the Acrobat - S1-E5
Factual error: The bus that appears in the scene is a Blue Bird TC2000 dating from 1998 to 2003, long after the setting of the series. (00:38:15)
Chapter Seven: The Bathtub - S1-E7
Factual error: When there is a pan closeup shot of the walkie-talkie the boys are going to finally talk to with the sheriff, there is a book called Great American Ghost Stories by Hans Holzer on the shelf to the left. That book was published in 1990, not in 1983, the year of the episode. (00:18:30)
Chapter Seven: The Bathtub - S1-E7
Factual error: High school basket ball courts didn't have a three point line until the 1987-88 season - not in 1983.
Chapter Eight: The Upside Down - S1-E8
Factual error: When Nancy shoots the creature the second time, she fires at least 8 shots from a 6-shot revolver without reloading. And that's assuming she reloaded after firing 3 shots at the creature the first time, even though the situation made it seem unlikely. (00:20:30)
Chapter Eight: The Upside Down - S1-E8
Factual error: This error occurs multiple times during the Series but most after 11 and the demogorgon disappear from the class room a modern periodic table is shown. There's at least a 1/2 dozen elements on it that weren't discovered until the 2000's.
Answer: The body was fake, made by the scientists at Hawkins Lab in an attempt to cover up his disappearance and the existence of the Upside Down.