Continuity mistake: When Myka pulls up to the warehouse for the first time, Lattimer's car is nowhere near where she parks, and it can't be seen when they are talking for a moment. When the door opens, however, we see both cars fairly close to each other, but if they really were that close, Lattimer's car would have been visible in the previous shots.
Continuity mistake: When Myka and Jinks first see the trumpet player, the camera stays on him while he plays. At one point he plays a long tone and the camera shows him press the first two valves as if to change a note. The note he is playing continues uninterrupted however. While there are some notes that can be played with more than one fingering, changing valves in the middle of the note always produces a momentary interruption of the note, at the very least.