New theory?

So while I was trying to sleep a idea came in my mind. What if the direwolves that the Starks have represent their characters?
It goes like this.

• The big direwolf that we see in the first episode represents Ned Stark.The Wolf is killed by a stag. The Robert Baratheon has as banner a stag which can represent the death of both Robert and Ned, if Robert wouldn't have called Ned to Kings Landing they would've survived more.
  *Grey Wind(Robb's direwolf) dies at the Red Wedding like Robb (kind of), at the wedding Robb is shot by crossbows and finally dies stabbed by Roose. Grey Wind dies shot by crossbows while locked in a cage. They both die defenseless and later that night the Freys put Grey Wind's head on Robb's body making it look like my theory might be true and showing the connection beetwen the direwolves and the Starks.
• Nymeria runs from the punishment and lets Lady pay the price. This could be Arya and Sansa, after Edd is beheaded Arya escapes from King's Landing Sansa remains with the Lannisters and shit happens to her.
• We saw in Episode 3 of the show that Shaggydog got beheaded by the Umbers, could this mean the same for Rickon?
• Summer and Ghost are with their "kids"(I forgot the word :P) and are well so maybe Jon and Bran will be okay for some time.
  So what do you guys think? Could this be a new theory? I wanna know your opinions.
  P.S: Sorry for any grammar mistakes.