If you mean in the credits, it is Heavy in Your Arms by Florence and the Machine.
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Edward proposes to Bella in Eclipse and therefor he is the one to give her the ring.
Bella and Edward get married at the Cullen's house.
Edward officially proposes with a ring in his room. He has a condition that Bella has to marry him if she can have vampire venom go through out her body anytime she wants. Bella wants to have sex with him and Edward promises that they will try it when she's not as breakable. That's all there is to it.
She chooses Edward and then marries him in the 4th book
An external conflict in Twilight is when Edward is fighting James to save Bella's life.