At the beginning of the episode when Gil and Sara are processing the crime scene, Sara uses tweezers to pick up the back of an earring from the carpet. In one shot, the tweezers are in her hand one way (like holding a magic wand) and in the next shot, she's holding them like a pencil.
Burke & Hare were not caught when someone recognized a cadaver as their fiance - they were caught when they killed a lodger and left the body in a room in their rooming house and it was discovered by another lodger.
In the lab Grissom is shown dusting the Xanax bottle for prints. That wasn't necessary because he had just revealed the fingerprints by fuming the bottle with super glue. The heat in the tent vaporized the cyanoacrylate exposing the latent prints.
Just after Sam and Catherine meet up and sit down in Sam's casino, Sam starts telling a story. In the initial long range view, his lip movements are not in time with his voice.
Grissom mentions Burke and Hare, calling them "scottish" when in fact they were Irish immigrants to Scotland. Grissom should know this.