The Tullys are going to be booted out of Riverrun by the Lannisters. There is not much left for the remaining Stark children. There is a fake Arya Stark (obviously that was Tywin's plan) going to be married to Ramsay Bolton. I wonder what Arya will do when she finds out who she has married! Ramsay even knows it, the point is that he will be heir of Winterfell. Though it is all burnt so he'll have some work to do.
GREGOR isn't actually dead. He is obviously at death's door, though, which means I fully expect him to make a full recovery. Tywin is struggling to retain the friendship of Dorne after Oberyn's death, so that Dorne don't join up with Stannis and prolong the war.
Jaime is sad because he can't fight with his left hand. Probably he just needs more practice; I don't see why he couldn't still become a decent fighter again, but he hasn't figured that out yet. Cersei wants him to leave the Kingsguard to regain his influence with Tywin so he can persuade Tywin to let Cersei stay in Kings Landing with Tommen instead of being sent of to marry someone. Jaime isn't having it so he's out of Cersei's good books now.
He summons Brienne. Loras is now convinced she didn't kill Renly, and they think Stannis's tricks are behind the mysterious death of the Castellan at Storm's End (that resulted in the release of Robert's bastard Edric Storm to Stannis). But they do not yet suspect that Stannis is behind Joffrey's death, despite Cersei noticing that Joffrey looked like he was fighting an evil spirit during his death throes. That would take too much Scooby-doo logic, I suppose.
Jaime gives Brienne his fancy sword and sends her off to find and protect Sansa. Giving Brienne a purpose strikes me as a kind thing to do; she would hate to languish about court being ladylike. Jaime seems to want to keep his promise to Catelyn by keeping Sansa safe. He's told Brienne about the fake Arya so that she doesn't try to rescue her.
Now Jaime has to decide what to do next. I'm hoping he goes to see Tyrion and tries to figure out who really killed Joffrey, because that seems like Tyrion's only chance, and Jaime is one of the few people who thinks he didn't do it.
