Do you have the 4th (Monday) of November and you fly out on Tuesday? Or do you fly out on the 4th so that's not a day you can do some or any sightseeing? What time's the flight?
Do you get in on the 27th (Sunday)? What time? Where will you be staying?
So am I right that you will be out of town all one day for Cambridge, another day for Oxford, and two days and one night given over to Edinburgh? And one more for the football game, so really 5 days away from London sightseeing?
Is this your first visit to London? What have you seen in previous visits?
Sorry for so many questions but more detail gives a far more precise answer from this end.