During Ellie's birthday party as the kids and Louis play hide-and-seek, Jud can be overheard in the background talking about a big Saint Bernard that got rabies. This is in reference to Stephen King's 1981 novel and its 1983 adaptation in which a large Saint Bernard is bitten by a bat and contracts rabies, going on a murderous rampage.
During one of Rachel's terrifying visions of her sister Zelda's death in her childhood home's dumbwaiter, blood comes pouring down from the closed door. The scene is eerily reminiscent of the chilling scene from the 1980 adaptation of King's The Shining, in which Wendy Torrance sees gallons of blood pouring out from the hotel's elevators.
One of King's most notable traits in his writing is the inclusion of references to towns from previous stories, with Castle Rock and Derry, Maine being the most prominent. As Rachel races back home to find out what is wrong with Louis, a highway sign can be seen saying Derry, where the acclaimed novel IT is set, is only 20 miles away.
Though King normally creates fictionalized towns for his stories, a notable exception is the small town of Ludlow, Maine, in which not only is Pet Sematary set, but also the 1989 novel The Dark Half and its 1990 film adaptation.
One of the plot changes featured in the new King iteration was the youngest Creed family member, Gage, being cursed with the ability to see and hear the spirit of Victor Pascow, crying out his name in the middle of the night in a manner very similar to Danny screaming Redrum in the 1980 version of The Shining.
During a late night conversation early in the film with Rachel, Louis states moving to Ludlow to become the lead physician is better than having to work the "graveyard shift" back in Boston. The line is a subtle reference to the 1970 short story and 1990 film adaptation of the same name.
While driving through town at the beginning of the film, a sign can be seen for D. Torrance Realty, a subtle reference to the young protagonist from King's The Shining novel and subsequent adaptations.