Continuity mistake: Season 5, episode 11 'Who shot Sherlock?'. In the scene where Sara Sidle sits down at the victims desk and computer, in the first shot you see the top corner of the notebook lid, saying IBM, then when you see the screen it says DELL on the bottom of it, and then in the next shot you once again see the lid with the IBM mark.
Factual error: Brown and Stokes are investigating a mysterious fatal accident involving a Jeep and a downed power line. They state that the driver would have been safe if the Jeep had made contact with the power line because the tires would have insulated the Jeep from the electrical current. Wrong. First, a car is a Faraday cage, that is an electrical current would pass on the outside of a car on the way to the ground. As long as you don't touch the outer surface, you are safe. Second, tires are (almost always now) steel belted radials and conduct electricity nicely. Lastly, it was an open top Jeep. The power line made contact with the roll bar thereby electrifying the inner surface of the Jeep. The driver is in contact with the inner surface. This is a list, from one year from one utility company, of people that died from contact with power lines. You will see that tires exploded from the contact and some caught fire. http://www.sigalarminc.com/HistoricalNotes.htm.
Factual error: Brown and Stokes mix up enough ballistics gel to make a life-size dummy to test their theory. The entire production (getting a mannequin, making a mold from the mannequin, etc,.) takes place in one shift. Ballistics gel needs to cool in a fridge, or on ice, (32-41°F) overnight. That alone eliminates the possibility that it was done in one shift. http://www.recguns.com/Sources/XD3.html.
Character mistake: Catherine Dent's character, Kay Marquette, plays the Holmes character Irene Adler with an English accent. Adler was an American, as mentioned by Watson in "A Scandal in Bohemia".
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.