In the pier scene, when checking the axe victim's pulse, Lucy Chen's right hand goes from being on the victim's neck in one shot to being on her shoulder in the next.
In the pier scene, when checking the axe victim's pulse, Lucy Chen does it with her thumb, which is incorrect procedure, as the pulse you feel with a thumb is sometimes your own.
(Or she's trying to feel her pulse at the back of her neck, which is all kinds of wrong.)
Officer McGrady is carrying a revolver as his service weapon, but his duty belt has magazine pouches for a semi-automatic handgun. It should either have speed loader pouches for the revolver, or he should be carrying a semi-auto handgun.