He doesn't really try to kill someone. He thinks about killing.... Renesmee, Edward, Rosalie, Alice, Emmet, Jasper, Esme (so all the Cullens but Carlisle and Bella) and he wants to kill the Volturi.
No, Jacob does not kill Edward.
Jacob Black
Edward asks Jacob to kill him if Bella dies.
He says he will...
The pack was going to kill Bella and Renesmee.
Edward promised Jacob that if Bella died (because she was pregnant the Jacob could kill Edward.
In Breaking Dawn Edward tells Jacob the he can kill him if Bella dies seeing as he doesn't want to live without Bella. At first Jacob agrees however later on, once they believe Bella to be dead, Jacob says he will not kill Edward as he wants him to suffer.
Yes he does. Right after she is born Jacob hates her because he thinks she killed Bella. While Rosalie is watching Renesmee for Bella Jacob was going to kill her but when he saw her he imprinted on her.
A werewolf cannot kill someone who has been imprinted on by a werewolf. Example: they cannot kill Renesmee because Jacob has imprinted on her.
No
In Breaking Dawn, Irina betrays the Cullens by telling the Volturi about Renesmee, Edward and Bella's half-vampire daughter. She does this because in New Moon, Irina's mate, Laurent was going to kill Bella. Jacob and his werewolf pack intervene and kill Laurent first. Irina is still upset about this in Breaking Dawn, so she betrays them.
She doesn't physically kill either one. I suppose if you are speaking of matters of the heart then she sort of killed Jacob by breaking his heart. But she doesn't end either of them.