Lizzie's hair changes while she talks on the payphone with her mother with Rafe standing nearby.
When Elizabeth is clearing the table near the end of the film, she clears away the plates of her mother and grandmother twice.
When Lizzie's Dad takes a photo, camera is in horizontal position. When Lizzie finds the photo, it seems like it was taken by vertically-oriented camera.
After Elizabeth has sex, when she is talking to Ruby she goes to sit on the bed. In the next shot, she is standing up.
When Ruby and Elizabeth are talking after she has sex, Elizabeth is lying on the bed and has the pillow behind her head. In the shot in the mirror she has the pillow almost under her.
Lizzie is in her room writing and you can hear Bruce Springsteen singing "The Promise" in the background, but they show the album "Born to Run" on the record player. The Promise was not released until 1999 and Born to Run came out in 1975.
Elizabeth has a Bruce Springsteen "Tunnel of Love" album poster hanging in her room in 1985. The album was not released until 1987.
When Elizabeth looks down below from the hospital balcony, several cars are shown. One of them is a modern-day (non-1980s) taxi cab.
When Elizabeth is moving into her dorm room (in late Summer, 1985), the top LP on the pile she looks at briefly is "A Momentary Lapse of Reason" by Pink Floyd, which was released in September of 1987.
When Lizzie leaves the hotel lobby, there is a cut to a shot of flying commercial airliner to denote that she flew to Austin; however, the airliner that was cut to was an Airbus A340 that did not have its first flight until 1991 and was definitely not yet in service in the mid-80's.
When Lizzie and Ruby first meet, Ruby says she recognized Lizzie from the face book. The term "face book" was first used in 1987, when this film supposedly takes place in 1985.