Continuity mistake: In the bit where Nick and Warrick decide who is going in the pool, Nick loses and begins to remove his top while still wearing his latex gloves. The camera switches to a different angle and while he is still taking his top off, his gloves have disappeared.
Continuity mistake: When Sara is trying to match up bite plates. In the first two close-up shots of Sara's face, you can see an out-of-focus shot of Greg's sleeve on the right side of the screen, seconds before he actually appears in the scene.
Continuity mistake: When Sara has finished processing Melanie Grace at the slot machine, Melanie gets down from her chair and a uniformed officer can be seen helping her down. However in the next shot the officer has disappeared completely.
The Execution of Catherine Willows - S3-E6
Continuity mistake: At one point Catherine is at the coffee shop and the parents of a murdered girl come to talk to her. She is holding her coffee in the right hand and her cell phone rings and she grabs it with her left. The shot switches angles while Catherine is talking and her cell phone has magically shifted to her right hand.
Got Murder? - S3-E12
Continuity mistake: When Catherine is looking through the contents of the birds nest, she takes out the teething ring and places it on a pile on the left. When Gil comes in and asks her what she has, the shot shows the nest and the teething ring is back in it.
Continuity mistake: When Grissom and Catherine are looking at Rebecca McCormick's dead body, her mouth is closed in the first two shots, and when we see her again it's open.
Continuity mistake: When Sara is showing Greg the route the old woman took in her car, she draws a blue line on the screen with her finger. When she says something about turning left she draws a continuous line to the "Meadows Lane," but when the shot changes and goes back the line is broken into two.
Continuity mistake: When Sara and Warrick are looking at the dead girl in the prom dress, she is turned over by the coroners and her hands are almost touching straight above her head. But when the shot changes, her arms have moved quite far apart.
Continuity mistake: The DB in the desert is in funeral pose. Sarah notices something on his hands, which are layed one on the other in a close shot. Cut to a wide shot and the top hand is off the other. Cut again to a close shot and it is once again atop the other.
Continuity mistake: When Grissom is in the horse stall, one shot shows the door closed to Grissom's back. Cut to the next shot (a closer shot through the door) and it's open.
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.