Re: BBC
We should all revise what we expect from the BBC. Think about how you yourself would run it to keep the broad support it needs to keep going. In practice the only way to do this is to keep a broad balance between the main political parties. That is something well worth preserving as no other media outlet needs to do this. But it also has severe limitations, because the truth, even in broad terms, is never balanced.
Most people with an interest in politics think the BBC is biased one way or the other to some degree but still trust it not to tell significant lies. Once the majority stops trusting the BBC in this way, it is finished.
But the best you can expect is that the BBC does not broadcast actual falsehoods. Usually, on the basis of fact-checking organisations, I think it clears this rather low bar.