When Reacher is running after the car the driver is wearing a seat-belt but when he is pulled out of the car it is unfastened.
In the flashback scene, the Ford sedan driven by the senior officer had a US government plate starting with E.
E is for the department of energy. A US army plate would start with W.
When the team breaks into the New Age headquarters they proceed to grab anything that might be useful evidence - this includes shoving a stack of hard drives from servers into a bag. Servers almost always use striped RAID arrays which are virtually impossible to reconnect unless you are using identical hardware and most importantly know the disks number in a specific array. Just grabbing the drives would make them all but useless.
The Escalade that was stopped by BBQ breaking the windshield magically had a new windshield when used to smash into the NewAge building.