During Shakespeare's lifetime, his plays were the exclusive property of his theatrical company and were almost always performed by them. I say almost because many of them were in print and any old company of actors could perform the play from the script. There were no performing rights as we understand them.
William Shakespeare's plays were performed in 'The Globe Theatre'.
The Globe Theater
Actors. Before 1660, only actors and no actresses performed in the plays.
the global theater
The Globe Theatre.
Newington Butts Theatre
The Globe Theatre
With the exception of the period between 1640 and 1660 or so, Shakespeare's plays have been continuously performed in London since about 1590 or so.
They were about many things however, each was associated with things happening at the time
This is a matter of opinion, but Hamlet and King Lear are usually the plays mentioned as Shakespeare's best.
No. We know of at least one, Sir Thomas More, that he and his collaborators could not get past the censors.
Hamlet is the most performed play. As far as I know, none have been prefoomed.