Gaffes

When Joe from inside his apartment shoots at the cops who are standing outside his door; it leaves bullet holes in the door. But on a following cut after speaking with the little girl and going back into his apartment; there are no bullet holes on the interior side of the door.

The film is framed as three flashbacks of Joe remembering the events that led to his standoff with the police. However, in the middle of Joe's second flashback, Jo Ann is telling him about how she met Max and then the film shifts to another flashback. Jo Ann's flashback within Joe's flashback is presented with the same style of detail as Joe's flashbacks, but it's doubtful that in the few minutes she had to talk with Joe that she could tell him her background with Max in such great detail and with verbatim dialog that Joe could "remember" the scenes as depicted (including a performance of a symphony orchestra). Therefore, the filmmakers must have meant this flashback to be solely Jo Ann's, but it's weird in a backstory constructed of Joe's flashbacks.

When the chief arrives; he has an unlit cigar in his mouth and one of the other cops hands him matches. The chief lights a match then brings it in front of the cigar then turns off the flame with a wrist shake without actually lighting the cigar. He just fakes it.