In an area such as Los Angeles, the lack of manpower scenario for a suspect such as Stroh would never take place. At the very least, the LA Sheriff's Department would be involved.
Rusty shot Philip Stroh 5 times. Provenza checked Stroh's neck for a pulse and pronounced him dead. Every successive camera shot of Stroh shows a progressively growing amount of copious blood pooling on the deck. After the heart stops beating, blood stops flowing and only a small amount of blood would be on the deck.
Julio Sanchez' rank was Detective, and he is promoted to Lieutenant. In the LAPD that is not possible, since he would first need to work as a Sergeant. Likewise, since Buzz never served as an actual patrol officer, he would have to do so before becoming a detective. His time as a reserve officer would not count.
When Julio and Mark are leaving the murder room and everyone is saying goodbye, someone (possibly Detective Nolan) says "Goodbye Henry," using the real name of the actor who plays Mark.
When searching the boat, Lt. Provenza makes a critical error that is known in police work as "Tombstone Courage". This involves an officer taking an unnecessary risk by themselves.
To honor Sanchez on his promotion, the Chief again repeats an error in procedure that has been repeated numerous times on this show: He gives the command "Order Arms" to direct those assembled to render a hand salute and the command, "Return" to end it. The proper commands in the LA Police Department are "Present Arms" to give the salute and "Order Arms" to end it.