Russell's Father's Son - S2-E13
Visible crew/equipment: In the bathroom scene with Audrey and Jeff, you can see down the hallway and there are visible people in the background standing in their living room.
Bag Ladies - S2-E5
Other mistake: In the first scene with Russell and Claire, Claire is portrayed as being too young to understand his references to Ross and Rachel from "Friends", Ward and June Cleaver, or the song "9 to 5." Later, he tells Adam that he met her while she was playing Grateful Dead songs in the park. That alone would demonstrate that she can be aware of shows and music from previous decades. On a side note, "Friends" ended only three years before this show began.