Max heals Liz at the diner and she has blood/ketchup on her bra but later when she looks at her stomach in the mirror, there is not a blood/ketchup spot on her bra.
The silver hand print on Liz's belly frequently flips position from left to right and from over her belly button to next to it.
When Max heals Liz at the Crashdown Cafe he does so using his left hand, thumb facing upwards towards her chest, however, when we see her looking at the hand print at home the thumb print points downwards.
Shadows of the crew (particularly the boom operator and their boom) are visible on the street when Liz catches up to Max and co after Max veers his car into the alleyway.
When the gun is fired but no bullet is found, the obvious conclusion was that the gun was unloaded or had blanks. None of the officials even suggested it.