Moss identification help: does anyone know what kind of moss this is? It was growing on the trunk of an old white oak, I believe.

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Moss identification help: does anyone know what kind of moss this is? It was growing on the trunk of an old white oak, I believe.
I love having absolutely no clue what most of these mosses are .-. Pretty sure the one on the rock isn't even actually moss. It's all been found in north Queensland rainforests (apart from the concrete rock thing, that was just in front of my house...). Anyway I think they're pretty, enjoy :)
I guess this is a moss? If it is, it’s a stringy, al dente kind of moss. I keep thinking I know a name for a related kind of plant that it might be, but I can’t think of it. edit: possibly Hedwigia? Any moss people out there?
Does anyone know what mushroom I growing in my moss plant? It’s about as tall as a thumbnail, grey and disappears/reappears after a day.
Does anyone know who to tag for answers?
hey if anyone knows anything about plants/moss please tell me what these are? i found them in a marsh in upstate new york, they look kind of like moss balls to me but those do not live here i don't think
Rose Moss (Rhodobryum roseum)
Rose Moss (Rhodobryum roseum)