Though set in Los Angeles, the actual detective wears a NYPD badge lapel pin. The actor portraying the detective circa 1990 has several days of beard growth, which while trendy in 2016 was and is against LAPD grooming regulations.
The detective character makes reference to "major crimes" which is an actual LAPD police division and current TV show, however the crime depicted took place in 1990 and the Major Crimes Division was not created until after the September 2001 attacks on America. It is part of the counter terrorism and special operations bureau and would not be involved in a single homicide case.