Is that your main breaker panel or is it a sub-panel?




?
In the 3rd and 4th pictures in post #13 you can see the Ground bus bar on the LH side of the box and there's nothing connected to it. It's mounted directly on the metal box so the box should be directly connected to Ground. That is IF the Ground wire was connected to the Ground Bus Bar, but from what I can tell nothing is connected to that bus bar. The Neutral bus bar is on the RH of the box and is visible in photos 3, 4 and 5. Note that it is insulated from the metal box.
If your house was wired to modern standards ALL of the ground contacts in ALL of your outlets should run
directly back to that Ground Bus Bar and if it is your Main Panel then the bare ground wire that connects to your Ground Rod should also connect to it.
The wire that you point out in photos 1 and 2
appears to be a ground wire but it's attached to a different box than that shown in photos 3, 4 and 5. It's been painted over but it should a bare, solid copper wire and it should be clamped to a ground rod but some people merely shove them into the ground. You need to dig into the soil and see what's there.
A agree with a previous poster, even though you have a three contact outlet I don't think that the ground contact in it is actually connected and the voltage that you're seeing from L1 to Ground is just from leakage.