...when I read this my first reaction was "I'm amazed someone copyright-claimed Potty Pigeon".
But yeah, I'd mirror dmmaxwell's statement on contacting Leonard French, although I don't know how far he could help in considering the international aspects. He seems to be YT's current legal expert in copyright cases, and has outlined and dealt with some of the more absurd suits in recent history (including getting sucked into that Alex Mauer fiasco, the poor guy). Sadly, YT has next to no oversight, so unless things go absolutely berserk they throw their algorithms at the problem and hope that fixes it.
The BBC I can understand, and maybe they're pushing because they don't want their content associated with a game called "Potty Pigeon". They're kinda assholes anyways when it comes to their content. (But the "All Creatures Great & Small" series is a good one regardless. So are the books, for that matter. But I digress...)
As for the other... no idea. I've never even heard of the band before, so I guess the studio is the one getting testy? Any idea who they are?
The other alternative would be to reupload the episodes with the content edited/removed, but that's equivalent to giving in and should only be used as a last resort.
Stay safe Ross, and have a Merry Christmas & a happy new year regardless!