Learn English – What does the idiom “to be known for” mean

No, the headline does not refer to the thespian abilities of the actors. Ben Bradley gave a favourable review to the play.

"The deed is done, the doers undone " alludes to the story of Macbeth; that both Macbeth and Lady Macbeth plotted and committed murders (the deed is done), and subsequently became mentally tormented by their evil deeds (the doers undone).

Besides alluding to the play in his headline, Bradley also brings other references from the play in his review. For example,

This “Macbeth” banks the sound and fury that lies within the play and its title character.

The above is a direct reference to the famous verse from Macbeth:

Out, out, brief candle! Life's but a walking shadow, a poor player that struts and frets his hour upon the stage and then is heard no more: it is a tale told by an idiot, full of sound and fury, signifying nothing.

1. What is this "Official" of which you speak?
2. Yes. It's a perfectly common phrase in the UK, with variants such as "Budge over" or "Shift over" having the same meaning. I can't speak for other countries, but I have no reason to suspect that it's limited to the US and the UK.
3. Not really, no.
4. As per 2, I'd expect most native English speakers to recognise it, though I could be wrong.
5. Again, what do you mean by "official"? The English language doesn't have a governing body in the way that the Académie française tries to be for French. Dictionaries follow usage rather than defining it. I understand "Move over" as meaning "Move aside," such as to make space on a sofa or give the speaker access to a computer keyboard.

"Move over" on its own doesn't imply motion towards anything, just (short) motion away. You could say "Move over to [somewhere]," but that's a different construction.