When Calleigh and Eric speak to Dale Buford he is clearly in possession of a "short barreled shotgun" as defined is section 790.0001(10) of the Florida Statutes, which, in section 790.221 is defined as a felony. Assuming it is not a registered short barreled shotgun or AOW (with tax stamp) under the National Firearms Act, it would also be a federal offense, thus under the jurisdiction of the BATFE (Federal Agents) as well. However, Buford is not detained and the illegal firearm is not confiscated.
When Horatio reaches down to close a murder victim's eyes, he simply places his hand down over the face without moving it in a downward motion, obviously never touching the man's eyelids. When he lifts his hands, the man's eyelid very briefly twitches, further showing that the actor simply closed his eyes while the hand was covering his face.