Continuity mistake: Bud and Exley are sitting in their car talking - Exley looks OK. His lip and eye are almost healed and there's only a little black and blue on the upper part of his left cheek. Than in the next scene with Lyn he looks like he's been beat up again worse than before.
Continuity mistake: When Bud White pulls into the driveway at Pierce Patchett's house to question him about Susan Leffert's murder, the wind is causing a tree top (top center of the frame) to sway. Before Bud opens the car door, you can see the tree come to a sudden stop in a position different than that of the last frame.
Continuity mistake: Exley has gauze or cotton stuffed on the left and right side of his upper lip (a la The Godfather). It's supposed to look like swelling from the unbelievable beating he just took. If you look at him closely in these several shots, the amount of cotton in his lip changes. Then later the bruises are only on his left cheek, with no swelling of his lip.