The date that the farmhouse was burned and the family was killed was August 19th. However, as seen later in the film when Heather is looking at the newspaper, the story was on the front page of the paper dated August 19th. The event would have occurred after the newspaper was printed and distributed.
When they pick up Darryl it's raining heavily, but when the camera points inside the car, it can be seen through the car window that there is no rain outside.
At the beginning of the movie, when the Sheriff arrives at the house, the flashing blue police lights on his vehicle change between on and off between shots.
When Heather is tied up in the warehouse her shirt is open showing her bare chest. Soon after she is exiting the warehouse with her shirt buttoned. There is a glimpse of a black bra under her shirt.
Heather works as a butcher in a supermarket and is seen wearing a beanie while cutting slices of meat. As per supermarket policy Heather would be required to wear a plastic cap in her hair so that her hair does not fall into the meat.
The Mayor asks Deputy Marvin if he has his "Eagle," almost certainly a reference to the Desert Eagle line of high-caliber handguns. Marvin says he does, and an "extended clip." The handgun the deputy is carrying is not a Desert Eagle, and it does not have an extended "clip," just a standard magazine.
At minute mark 1:04:29, it states 'Bodies retrieved from Sawyer residence, 08-18-1973'. The shootout and subsequent Sawyer residence burning took place on August 19th, 1973, with body retrieval taking place late August 19th or early August 20th.
While Heather reads the newspaper explaining the events from the original film, the word "massacre" is misspelled as "xmassacre".
After deputy Carl assists in tying up Heather he disappears from the rest of the film. This is likely the result of either poor writing or trimmed scenes that didn't make it into the final film, not a "goof." It's also entirely possible his character was terrified of being sawed in half and unlike every other character, simply left town.
In the movie's prologue, the Sawyer house is full of family members. In the original The Texas Chain Saw Massacre (1974), there were only four Sawyers. While it seems not to make sense that these extra people are there, it's very clear that multiple cars full of gun-toting family members arrive just prior to the sheriff.
There appears to be still frozen ice cubes in Heather's grandmother's glass, while she's clearly been decomposing for some time. It's likely these are whiskey stones, which can even be clear to look like ice.
When out shopping for dinner supplies, it looks like Heather doesn't pay for the bag of charcoal she's holding, but it's just that she handed the vendor cash during the cutaway to the deputy.
When Kenny is dragged into the basement he pulls the carpet on the stairs down with him. After Heather escapes from the basement a few minutes later the carpet is back on the stairs; however it's possible Leatherface replaced the carpet.
When Heather reads the letter out loud in the van, it can be seen that what she reads and what is actually written on the letter are different.
When a character uses FaceTime to show other characters what he sees in the Sawyer house, his iPhone clearly focuses (indicated by the blue square in the center of the screen) which does not happen during a video call, indicating that he was only on his camera, and switched to it every time he was re shown.
Obvious CGI fire when the townspeople burn down the Sawyer family home.
Leatherface appears to be very physically fit as he is able to run rather quickly after his victims, although by 2012, he has to be at least in his mid-60s.
The movie takes place in 2012. In the opening scene, set in 1973, Heather is a baby. This would make Heather at least 39 years old throughout the rest of the film. However, her character is obviously much younger than that (her actress, Alexandra Daddario, was only 25 at the time of filming).
The characters of Sheriff Hooper and Burt Hartman are in the 1973-set opening scene. 39 years later, neither character appears to have aged a day.
During the opening standoff, a Dodge Diplomat squad car is visible. Diplomats were produced from the 1980s into the early-'90s.
The shootout at the Sawyer house in the beginning of the film takes place in August 1973, but Burt drives up in a 1975 model Pontiac Firebird Formula 400.
During all scenes of the VW camper van driving around on the grounds of the house there is tyre squeal this would indicate rubber on tarmac/concrete although all the drive consists of is dry dirt track which would make no noise at all.
After the confrontation at the bar, Heather flagged down Carl's police car. The police car had Texas license plates, but Louisiana registration on the windshield.
If the sheriff is hell-bent on killing anyone related to the Sawyer family then how is it that Heather's grandmother Verna was never a target?
Nikki greets Leatherface with "Welcome to Texas Motherfucker". She is greeting someone who has lived in Texas all his life while she is only visiting.
In the Sawyer family police files that Heather goes through at the station, they state that Drayton Sawyer is the father of Loretta, Heather's mother, making him Heather's grandfather and making his son Leatherface her uncle, not her cousin, as he is repeatedly called in the movie.
As revealed in the end of the film, the letter left by Verna reveals Heather's birth name is Edith Rose Sawyer. When Leatherface finds Heather tied up he notices the family sigil branded on her collar bone and in response Heather tells him "It's me! Heather!". This is an illogical response as Leatherface does not know her by her adopted name but rather by her birth name.
It seems idiotic and illogical that Heather and her friends would entrust the antiques and the mansion to a random hitchhiker they just met while they go out.
At minute mark 1:04:30, Drayton's name is misspelled, 'Dreyton'.