Audio problem: Upon Elizabeth's first meeting with the Duke of Anjou, he whispers, in French, what he would like to do to her in bed. Then he says, in English, "Would you like that?" His lips don't move when he says it.
The scene where Elizabeth asks the Spanish ambassador to marry her to Dudley at a firework party did take place, but the assassination attempt that followed is fictional. (Although it is true that many attempts were made on her life.)