The numbers and the "P" in the frame well are just inspector's marks. Can't tell if it has a hold open or not, would have to see a photo of the top of the frame without the receiver. If it has a hold open, the toggle will not stay back unless there is an empty magazine in the gun. Being an '08 commercial, chances are pretty good that it doesn't have a hold open. Pretty nice looking gun.
I posted my reply before you added the other photos. All of those other marks are also just inspector marks and there is no key to who or what they represent.
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If it's made after 1918...it's a reproduction
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