Behind the desk in Cottonmouth's office is a very fancy type of flat panel TV that actually mechanically extends from the wall and flips the screen so that one side is a TV monitor while the other is a painting or some other form of art. In some scenes throughout the first 6 episodes or so, there is a small black reading lamp that appears only when the "art-side" is facing out, almost as if the set dressers forgot there was a TV on the other side and that the lamp would have been knocked over if anyone ever turned on the TV.
The thumb drive that Luke Cage gives Claire, which has Reva's data on it, is a different one than the one given to him by Jessica Jones (and also shown earlier in the Luke Cage series), which is bright yellow in color and has rounded edges.
Multiple characters refer to the police in the series as being from "Harlem PD." In reality Harlem is simply a neighborhood on the island of Manhattan and thus would be patrolled by the New York Police Department or NYPD.
Harlem has NYPD police precincts (the 26th, 28th and the 32nd ), not its own police department.
Harlem has NYPD police precincts (the 26th, 28th and the 32nd ), not its own police department.