Cool Change - S1-E2
Revealing mistake: The male corpse's eye is fluttering as his arm is examined. (00:10:30)
Cool Change - S1-E2
Deliberate mistake: Willows collects fingernail scrapings from Holly's left hand in the morgue for DNA matching to Holly's shooter. In the flashback, Holly uses her right hand to scratch her assailant while her left-hand remains gloved. (00:32:47 - 00:36:22)
Cool Change - S1-E2
Visible crew/equipment: When Nicky is dragging her ex-boyfriend across the hotel room floor you can see green screens outside of the balcony doors and windows. (00:39:45)
Cool Change - S1-E2
Factual error: There are some majors problems with the "jumper's" crime scene. The girlfriend bashes the boyfriend on the back of his head. He bleeds out all over the balcony (she cleans up the blood with towels) but the body leaves absolutely no blood behind on the carpet (It's white\off white so blood would stain badly). She drags his body across the carpet and carpet fibers get stuck in his watchband by the adjustment knob. Dragging a body across the carpet would snag fibers on the opposite side. The CSI crew experiment and conclude the boyfriend was pushed. The blow to the head killed him instantly (coroner's report): therefore, the girlfriend would have dumped the body. Dumping a dead body over a rail would provide a different trajectory than pushing a live person and would not have matched their experiments. Finally, the boyfriend is fairly muscular and heavy. The girlfriend is petite. It would be an extremely difficult task to stand a lifeless body up at the balcony rail and flip him over. (If she could have lifted him up and over the rail, she should have been able to carry him to the balcony instead of dragging him.)
Cool Change - S1-E2
Plot hole: Grissom examines the victim's body and immediately rules it a homicide because he was wearing eyeglasses. He states that suicide is a cowardly act and no coward wants to see their death and would have removed their glasses before committing suicide. What a completely unfounded, and unscientific, statement. Suicide being an act of cowardice is his opinion and not a scientific fact and they don't work off opinions: they always state how they work off the evidence.
Suggested correction: This is correct, that was not scientific on Grissom's part, however this wouldn't be the last time Grissom formed an unscientific opinion that he was sure of based off what he thinks to he true as have the rest of the CSIs in several cases throughout the series. This also happens in real life; people involved in crime scenes making assumptions thus making errors off it. It wasn't right; but I would hardly call this a plot hole as this is something Grissom legitimately believes.
Cool Change - S1-E2
Revealing mistake: Dead Hotel guy's torso moves slightly up and down during his autopsy.