In the very opening scene, before we even get the title of this brand new show, there is a major continuity flaw. We see a woman walking towards Franco's character, then as we face him, there is very clearly (different wardrobe) a different woman that is passing him now.
On a movie theater marquee, a title is misspelled as "The Bird With the Crystal Plummage."
A marquee for the film The Bird With the Crystal Plumage (1970) is misspelled "plummage".
The Character Candy uses a telephone answering machine. Answering machines were not common until the mid 1980's almost ten years after this series is set.
During title sequence, a dark 1977, 78, or 79 dark colored Thunderbird passes by just as Dominique Fishback's name leaves the screen. The series is set in 1971.
At around the 47:00 minute mark, when Vinnie exits the subway, a 1973 VW Beetle or Super Beetle drives by, which would not have been on the road in 1971.
Near the beginning of this episode as Vincent Martino washes his blood off a towel in a sink, a glass bottle with a UPC code is clearly visible sitting on the sink. UPC codes were not widely used until the 1980s.