I think that Tyrion in a way needed Joff's death and this kinslaying, however horrible it was, to give him a push and severe all his relationships with his vile sister (O, she is so horrible, and not even clever. I like Lord Tywin in a way for his cunning, but her ..Guh!!) and severe that bond he still had with his father , the way he always wanted his father's approval.

I believe that through the difficulties to come we are going to see a new Tyrion. And I actually think that at the end he and Sansa will form a great marriage together. After everything she is going through she will learn to love him. I also believe that it will come to pass that Tyrion will be a head of the house of Lannister.

I don't think Jaime is going to die, NO!! But I think that Jaime if he lives will be the Lord Commander. With Brienne as one of the Kingsguard.:D