Although he is not depicted that way in the movie, Rev. DeLaine wore glasses.
The entire movie is set in the 1950s, but in at least one of the New York City street scenes, both the pedestrians' clothing and the cars on the street appear to date from the late 1960s to the 1970s.
A few minutes into this miniseries' second half, there is a stock shot of a subway in Manhattan. The subway train is from the late 1970s, though the miniseries is set in the early 1950s.
On the night that Buster throws a surprise birthday party for Thurgood, after he opens the door to their apartment, he walks from the foyer into the living room before turning on a light in the darkened apartment or removing his coat and hat, but a light switch is clearly visible just inside the front door.