The OT is ripe with continuity errors that Lucas simply explains away with 'point of view', yet most don't care because they 'grew up with it'. Now that the PT has them, it's pitch forks and torches.
As for Vader turning on the Emperor, why bother at that point? Vader was just as much to blame for his lot in life as the Emperor was. The Emperor was all that he had left and all that he had to help 'keep the peace' in the galaxy. If he kills the Emperor, he is all alone, as Luke has told him he won't join him. Why kill the only person you have left, again?