Jordan's handbag shoulder strap changes from under to on top of her epaulet and back again as she and Rabb approach the lift in the office.
When Lynch, in a Master Chief's uniform, drives up to the gate, the guard addresses him as "sir." No enlisted man is addressed as sir. The guard would have addressed him as Master Chief or Chief.
The Philadelphia Navy Yard is partly a small, mostly land-locked facility connected by a narrow channel to the Schuylkill River near where the Schuylkill meets the Delaware River, and partly a series of piers directly on the Delaware River, which is less than a mile wide at this point. It is not open to the ocean as pictured. Also, mothballed ships are not kept elevated above the water as pictured; they would be floating in the water normally.
Little AJ's baptism is time-stamped as happening at 2230 Zulu time. But the clock on the church steeple says 4:40, which is off both by ten minutes (which could be blamed on the church clock) but also by at least an hour, since 2230 Zulu would be 5:30 Eastern Standard Time or 6:30 Eastern Daylight Time.
After Charlie shares pizza with Dar'Lin in the car, the camera cuts to what should be the ghost fleet. All of the hull numbers are brilliant white. Ships that have been decommissioned have their hull numbers painted over and the numbers are not white. If that was truly a ghost (or decommissioned fleet of ships) the hull numbers would not be visible, they would be the same color as the hull.
When Charlie grabs the fire axe to attack Harm, it is not secured. Everything aboard ship is secured so that it does not come loose in rough seas.
The chaplain did not phrase AJ's baptism correctly. Matthew 28:19 says, "Go, therefore, and make disciples of all nations, baptizing them in the name of the Father, and of the Son, and of the Holy Spirit.