not sure how to fix the first problem besides waiting for it to fall through the rest of the way...
but yes after you finish all the scripted days in story mode it basically turns into the infinite gamemode with more possible events
yes... they are the worst object for sure
hopefully they get reworked to fall apart or only be a curtain rod or something... something about the shape does not act nice in the physics
I personally recommend wood chipping them, or I've heard you can craft them into scrap if you put multiple on the workbench? not sure about that though