Character mistake: Seven minutes into the show, Sarah Sidle is about to do an internal sexual assault exam/kit on an unconscious victim in the hospital, Sarah picks up a metal speculum and says aloud to the victim (in a presumed moment of empathy), that she "never really liked this part of my yearly exam. These things are always freezing" referring to the speculum in her hands. She then brings a speculum to her mouth and begins to blow open-mouthed on it two times, forcing her hot breath on it to warm it. She then begins to insert it into the victim as the scene cuts away. This is pure stupidity, as no trained CSI would ever contaminate the tool like this. Sarah just added her own DNA to the speculum via her breath so any saliva or body fluids are now on the speculum what she is about to use on this patient, who is now also exposed to any STDs from Sarah.
Continuity mistake: While Sara is looking through missing person's files, Grissom comes in and starts talking to her. One shot her hair is in front of her face, the next it's behind her ear. This continues throughout the scene. (00:22:05)
Continuity mistake: When Catherine and Warrick are testing to find the distance the shots were fired from, when Catherine shoots at the shirt that's 2 feet away there is no gunpowder around the hole. When Warrick puts the victim's shirt next to it, for comparison, there is now an inch of gunpowder around the hole.
Other mistake: The agent uses her remote to unlock her car in the parking garage. But during the closeup manually inserts the key in the lock.
Answer: He doesn't have the authority to arrest him - when anyone is arrested in the show, a police officer does it. Also he tells Ty that he is going to be submitting his case findings to Ty's insurance company, who would no doubt contact the IRS, who then would have him arrested for fraud etc.