Welcome to the forum.
No, all pistols did not receive the 1920 marking before or after they went to the police.
The marking was only applied for a few months in 1920/21.
The marking on the front of the TG is the "revisions commission stamp" and the normal Erfurt inspection crown/letter.
The TP on the barrel is the mark applied when the barrel was replaced by the Technical Police organization(armorer) and the eagle is the firing proof of the Weimar era.
Check out the FAQ for answers and info, explaining these and other markings.
Nice to have the paper with the pistol number, matching mags, and holster!
It is a "sear" safety.
Also a good idea to include full left and right views of the entire pistol, and the top of the chamber, front of frame.
Your close ups are good, but sometimes there is info hidden in the "forest" - all the ones posted show "trees".
