During the clothes-changing scene at the fence, Bud removes his white gown to change. After he gets dressed, Clarice and Ike go to let Jackson out of the trunk, and Bud is seen pulling the gown off again in the background.
When the escapees arrive at the abandoned trailer in the middle of the night, the moon is full. Soon after, just before Elizabeth attempts to run off, the moon is a half moon.
As the group camp in the trailer, there is a full moon. Later the same night, the moon is half.
The credits incorrectly list one of the songs as " 'It's Over' Performed by Patti Ma Salle." The artist's name is not "Patti Ma Salle"; it is "Patti La Salle."
Verna is the Sawyer family grandmother as stated in Texas Chainsaw 3D (2013), which already causes issues with the fact that Grandma Sawyer is dead in the events of The Texas Chain Saw Massacre (1974) and there's no indication that there's another grandmother in the family. If Verna Sawyer is supposed to be the same character in all three films, then that means that she became elderly, withered, and dead in the span of 9 years before the original, as the film's events take place from 1955-1965, and Verna looks relatively young throughout the film.
When Verna and her attorney delivered the court order allowing visitation with her son Bud, they would not have to produce a second order for the warden to search the records but simply ask that he be held in contempt of court as checking the records to produce Bud is implied in the original court order.