Other mistake: The hotel manager is charged with negligent homicide because he was using propane without the additive, but the victim was knocked unconscious. The additive wouldn't have made a difference.
By the Book - S10-E6
Deliberate mistake: When the CSI team reported to the island to find the dead body hanging upside down, they kept repeating how the body had been completely drained of blood. Yet, every time they showed the body, the jugular vein distention was very obvious. This could only occur in a live body or one still full of blood. Not a blow your socks off type of error but one very noticeable by anyone in the medical profession.
Factual error: There is no way the gun in this episode would work, the bullet world be moving way to fast for the shooter to accurately control the bullet to the target.