Harry Stone never spoke of ever having kids or a family, and yet he apparently had a daughter (who if the same age as Melissa Rauch, would've been at least 4 years old at the start of the series) who followed in his footsteps for the reboot.
Harry Stone's romantic affairs with subordinates, while central to the show, were inappropriate even for the 1980s setting of the series. They would have had to end or Harry would have been removed from his role as a judge.
In the cafeteria, the exit doors are labeled with "These Doors Must Remain Unlocked During Business Hours". This is a California State requirement (where the series is shot), and is not seen in New York (where the series is set).