When Goren and Bishop are searching Tamara's bedroom, they're not wearing gloves. No experienced detective would do that. Goren even handles a pair of dirty underwear without gloves.
The title card introducing the scene at the clerk's office describes it as, "New York County Clerk's Office" in Queens, N.Y. Queens is in Queens County, not New York County.
Jerome pulls back the slide on his pistol when someone knocks at the door of his hotel room. The slide locks open indicating the weapon is unloaded.