In overtime of the Super Bowl, Pendleton is sacked near his own 45 yard line. On the next play, he completes a pass well downfield. However, on the next play, the Rams are back at their own 45 yard line.
At the end of their first meeting in Farnsworth's new gym when Joe reveals himself, Max sits down on the steps. His cigar is in his right hand, and Max drops both hands down between his legs still holding the cigar. When the shot cuts to Farnsworth standing up to leave, the cigar is instantly in Max's mouth, with his hands still lowered.
In Farnsworth's study while Betty Logan is talking to Tony Abbott, she folds her petition and places it in her briefcase. A few moments later when the camera returns to her, she is holding the petition in front of her. Then, towards the end of the scene, the petition is no longer in her hands (we suppose back in her briefcase).
Early in the film, a sportswriter asks Joe Pendleton about Tom Jarrett being his competition, and Joe says his competition is the 25 other teams. By the time the movie was released before the 1978 season there were 28 NFL teams as Tampa Bay and Seattle were added in 1976.
During the football scrimmage segment none of the players are wearing knee, thigh or hip pads. In an actual live contact scrimmage most players would not take a chance on an injury by playing without all of their pads.
Teams sometimes carry out "walk-through" scrimmage practice without pads, to choreograph plays, but that's clearly not occurring in this scene.