Agree that the 1936 is
PMD, some sort of vise job clamped edge.
As for the 1920, it's confusing. One does also have to explain how the completely straight gash across the obverse got there. Occam's Razor suggests that all the damage to this coin happened at the same time, rather than in separate improbable events, so my assumption would be everything we see here has a single explanation: the coin was solidly attached to something (perhaps a piece of "trench art"), and later someone has come and torn the coin off of whatever it was attached to. That would explain the "lamination", the straight gash, and the "other wording stamped into the reverse" which might perhaps be from whatever tool was used to tear the coin off it's mount.
I would generally advise against people paying high prices for "lamination errors", simply because a lamination "error" is all too easy to create post-mint.
Don't say "infinitely" when you mean "very"; otherwise, you'll have no word left when you want to talk about something really infinite. - C. S. Lewis