When the victim's body is washed out of the public toilet, her body comes to rest face down perpendicular along the the adjacent building. When the CSI team examines her, she's on her back several feet from the wall with her head at an angel towards the toilet.
When the team of Danny, Lindsay and a third lab technician are inputting parameters to solve a kinematics problem, the equations actually presented on screen are forms of equations for electromagnetism, called Maxwell's Equations.
The astronaut's mission patch found on the luge racer's outfit is incorrect in two respects. First, it refers to the mission as "Mercury 3"; the mission was known as either "Mercury-Redstone 3" (MR3) or by the capsule's name, "Freedom 7". Second, the patch worn by Alan Shepard was a square black patch with no pictures, just the Legend "Freedom 7" embroidered in white.