Near the end of the movie, when JR is getting into the Cadillac, the registration and inspection stickers on the windshield are blue, a few minutes later, as he's driving on the highway, the stickers are red and white.
When JR has just met Sidney and is walking her home (at about the 50 minute mark) his pants are a red colour. When he says goodbye and starts walking back, his pants have changed to a dark blue.
In one of the first scenes, J.R. is listening to the radio as the song "I Love The Nightlife" comes on. The scene is set in 1972 but that song was released in 1978.
In the opening scenes at the ball field there are clearly solar panels in the background on a house. This would be very unlikely on a home in the 70s.
Candlepin bowling is a New England thing, not Long Island. The lanes on Long Island are 10-pin lanes.
Towards the end of the movie, when mom/Lily Rabe is getting ready for a new job, she talks about an I.R.A. growing tax free. I.R.A.'s don't grow tax free, they grow tax-deferred.
The movie is set in 1973 but the radio plays "Love Will Find a Way" by Pablo Cruise. That song was released in 1978.
In the end credits as young JR is driving the blue Cadillac (circa 1973) and makes his first right turn several modern vehicles (circa 2020s) can be seen crossing in the perpendicular street farthest from camera.
In an early scene at a baseball diamond the house in the background has solar panels, which did not yet exist.
In the scene where JR is walking Sidney home from the party, you can clearly see a home security camera on the house they walk by. Seeing as this is in the early 80's those camera would most likely not have been a thing.
In one of the opening scenes, the narrator states that the film is set in 1973. A few minutes later, at the 6:00 mark, Pablo Cruise's song "Love Will Find a Way" is heard on the radio. The hit song wasn't released until 1978, five years later.
A few minutes after 1978's "Love Will Find a Way" is heard on the radio, Alicia Bridges' "I Love the Nightlife" is heard, also a 1978 release, during a sequence set in 1973.
The movie is set in the '70s and '80s, but no houses have TV antennas or TV aerials. Almost all of them would have.
Most of the early scenes are set in 1973. In one such scene, Grandpa is singing along with a television commercial jingle for a cigarette brand, specifically Winston. Cigarette commercials were banned from television beginning in 1971.
JR and family are supposed to live on Long Island, but in the bowling scene they are playing the form of bowling found in New England, with the small balls, not the 7-10 pound balls usual in New York.