Beehaw still seems to be able to push new posts, but they didn't get the one post from 2 days ago that was from sh.itjust.works, so it's not really working there either:
I'm not sure what's going on here, I couldn't find anything in the modlog and I can't tell if it was just deleted? But if it was deleted, other instances seem to be completely unaware of this and people are still trying to use it on their instances.
I tried to post to the feddit.de main community too, but my post isn't appearing there either. Of course that might be moderation so I'm not sure it means anything.
I believe there's a bug when a moderator from a remote instance edits a community, that stops it showing up in search and makes it only accessible via a link like https://feddit.de/c/japanesemusic@feddit.de. So that's probably what happened to this one. More info.
As for the other stuff, Beehaw is defederated from sh.itjust.works so makes sense they're not receiving updates posted from there.