Game of Thrones 338-430

In this reading there were multiple drastic things that occurred. One of them being during Arya's chapter. As she was following some men she over heard them discussing the matters of killing her father, Ned. As she went to tell her father, it seemed as if she confused herself and was somewhat disoriented  This didn't totally make sense to me. Although she is a young girl, I would think she would remember the details concerning her fathers potential murder. Obviously Ned does not believe her daughter...that's frustrating. Another big scene was the conversation between Robert and Ned about the death/murder of Dany. Ned stands strong on his belief of keeping Dany alive, and even goes to the extent of giving up his position of the kings hand. I think this shows some of the honor Ned has. He isn't as evil as the other characters and is overall in it for the good of everyone. Ned later gets into a fight with Jaime which ends with the death of his men and a broken leg himself. When we get to Catelyn we learn that Tyrion is not being somewhat abused in his cell after they arrived at the Vale. We then learn that Tryion is still claiming he is guilty in relation to Bran's assassination. He demands a "trial by combat" which under my impression, is basically a fight/war. Bronn volunteers to fight for Tyrion but I am confused who Bronn is and where he even came into play here. Bran of course is included in this section and he goes out with Robb testing out his new saddle and horse. They get somewhat attacked here but the escapees of the Night's Watch. This means most likely someone on the Night's Watch has now tried twice to assassinate Bran. Again the Direwolves save the day and kill them all besides on, who is taken back to Winterfell. I think this person is going to play a significant role here in the future as hopefully they will speak up about who sent them to kill Bran, or even the purpose behind it. 

I think a theme here is who is loyal to who as it has been in the book, but coming forth in this chapter. Who is Dany really loyal to? Who is Ned royal to? If he is easily willing to step down from the King's Hand does he really wanting to be there?

-Where has Jaime fled to? Is he looking for something or something?
-What is the deal with these combat fights? It seemed as if they were going to do a trial but then changed to a combat fight which seems like it may do more damage than anticipated.