The bullet impacts on the body armor that Eve gives back to Gregorio do not align with where she was shot. One round hit higher than the center portion shown, and it would have gone through the strap portion of the armor.
The Russian gun thug at the park is shot in the shoulder and is instantly incapacitated- presumed killed. A wound such as that would not be immediately disabling as was shown.
Eva tells Gregorio that she sent her brother a token from "Funland" as they pull into an abandoned amusement park. The park they drive up to is Six Flags New Orleans that was destroyed by Hurricane Katrina and never reopened. There is a gate at the road leading to the parking lot that is guarded by security because of trespassers. If Gregorio had entered that gate, it would have revealed her location because security would have needed authorization to allow entrance. Pride, NOPD, and possibly Agent Barns would have known her location without tracking her phone.