Eddard

In this chapter Ned is currently captured setting in a filthy cell in the dungeon of the Red Keep, during his time alone Ned has time to reflect and feels guilty for the dangerous position he put his family in as well as the death of his loyal men. Varya informs Ned about how his family is doing on the outside, he also give Ned an ultimatum of sorts giving him two options. He can admit that he is guilty of treason to the king making him a trader or he can choose to stay loyal to his duty and tell everyone that Joffery is not the true heir to the late King Roberts thrown. If Ned chooses to admit he is a trader it would go well for Sansa and keep his family out of harms way.
I chose this chapter because it is a key point in the story and Ned has a huge decision to make if he chooses to say he is guilty it's almost curtain death but he will be saving his family. If he doesn't Joff will have to kill him anyway to keep him quiet.

Eddard

During this chapter Ned is committed of treason and sent to the Red Keep dungeon and is put there for the remaining time. This time is very hard on Ned and he sits in the lonley cell thinking about and blaming himself for all his men dying and the danger that he has put his family in and he feels helpless because he cant help. Varys comes and visits Ned and discusses his loyalty to the realm and gives Ned the latest updates on what has happened that he cant be there for. The chapter ends with Varys telling Ned that he 2 choices and that he needs to think about what hes going to do:
He can either commit to his duty to the king and stand still to his opinion that Joff shouldnt be king which in that case that might risk the death of Ned and sansa, or because he loves Sansa so much, he can confess to a crime he did not commit which would hopefully get himself out of the situation but it is also risky.

Eddard

In this chapter King Robert died in this chapter. Ned gets the people to make him as protector but they were interrupted. When Ned calls for the City Watch to make Cersei and her children leave. The gold cloaks kill Ned’s men. Littlefinger tells what he did. This chapter was very good because it was full of action like all the other chapters. I was surprised little finger told what he did. Over all I really enjoyed this chapter. 

Eddard 628-637

At this point Ned Stark is in the deepest darkest dungeon there is in kings landing after trying to overthrow the lannisters and have the rightful king take control which would be Roberts brother. While he is in the dungeon he is barely being fed and hydrated and has no communication with anyone. Ned starts to loose sight of reality and dreaming because he starts vividly dreaming things as he is awake like he does when he dreams. Varys shows up and starts talking to Ned about the outside and what is happening in the North, the situation with Tyrion, and his daughters. Ned asks why he did not help them and Varys responds with a reasonable answer of being unarmed and that he serves the realm instead of anyone. Varys does give Ned an option to bite his tounge and just acknowledge what Cersei wants.
This chapter is important due to the fact that Ned has a major decision to make to "confess" his wrongs and ruin his name. Also, with this chapter it shows how strong willed Ned is and what he can endure and overcome and pull through. With what Ned chooses will determine his future at the wall or will be dead.

Jon (Pgs. 552-567)

In this chapter, Jon Snow and Sam go along with Mormont followed by his men on a mission. After a while, they find the corpse from which Ghost received the hand from. After examining the bodies, one of the rangers mentions that the bodies have not been dead for very long; however, Sam mentions that something was wrong with the corpses. He concluded that the bodies weren't bloody or rotten and their eyes turned blue. Mormont agrees with Sam and orders that the bodies be taken back to the wall for examination. Later that night Jon receives a letter explaining Ned's treason. It is clear that Jon wants to go home. Then Thorne calls Jon a traitor's bastard and Jon tries to attack Thorne, but is stopped by his friends. Mormont sends Jon to his cell without weapons. Jon then wakes up to his cell door being open and finds the guards dead outside. John walks up the stairs and notices a person walking into Mormont's room. Jon and Ghost attack the (dead) person and then Jon finishes it by burning the body. 
I think the significance of this chapter is that it is foreshadowing that there is going to be several issues occurring later on. For instance, Ned is being held captive for treason, Robb is leading an army to fight the Lannisters, and the knights watch have discovered something from their past has returned. I feel that since all of these issues are happening at once, it will lead to a catastrophe. As for Jon, I feel that he has a very difficult decision to make. Does he stay loyal to his oath and protect the wall or does he rush home to help protect his family? 

Jon (553-567)

 The chapter begins by describing the corpses of two men (Ben Starks men, to be exact). The corpses were dead white, with bright blue eyes and black charred hands. They found the dead men outside of the wall while looking for Ben Stark.  Jon and his companions of Black Brothers made the mistake  of taking the bodies back to the wall for further examination. Jon awoke the next morning to find the dead corpse alive! The zombie had killed men already, but Jon being the hero that he is, ran to make sure Lord Mormont was safe. In the battle between Jon and the zombie, Jon won by using FIRE. Apparently zombies are allergic to fire. Throw in some bad news about Jon's father and a quarrel between Jon and Ser Alliser  Thorne and that pretty much sums up the chapter. 

 This chapter changes things quite a bit... For instance zombies are now an imminent threat to the wall. It seems like the zombies were meant to be found and that there are probably more. Jon lands himself in trouble after attacking Ser Alliser, and we see Jon becoming troubled that he isn't able to help his true family. We also see a close relationship forming between Jon and Lord Mormont. 

 I think that zombies will definitely become more dangerous and that it will cause more problems for the kingdom (as if there's not enough already!). 

Daenerys pg. 583-594

In this chapter Daenerys wanted to go to the market as her husband was out hunting. Once they arrived to the market Ser Jorah went to get a letter, while he was gone Daenerys and her handmaids went to try the sausages that she had talked about. Then they went to try the wine, and when the wine seller found out who she was he went to get her special wine. When Ser Jorah returned he told them to put down the wine and wanted the seller to try it, when he refused he knew the wine was poisoned. When they returned to Khal Drogo he grew mad and said that he was going to cross the black salt water and kill the men and rape the women.

I think that this chapter is important because when they return Ser Jorah states that this was the first attempt to kill Daenerys and her son, but it will not be the last. I think that things could get interesting from here, there could be so many people who try to kill her and the child because the price they will get paid is a lot, and worth it. Things could take a turn for the worst for Daenerys.