“For let the gods so speed me as I love the name of honor more than I fear death.”
In act 1 scene 2, Brutus is telling Cassius that he loves honor more than he fears death. This is a very noble act on Brutus’s part. Back in the Roman era it was a essential to have honor and Brutus displays how much honor means to him.

“The fault, dear Brutus, is not in our stars, But in ourselves, that we are underlings.”
In act 1 scene 2, Cassius is speaking with his friend, Brutus, and trying to persuade him that, in the best interests of the people of Rome, Julius Caesar must die before becoming king of Rome. Brutus is aware of that Caesar is trying to persuade him, and is torn between his love of his friend Caesar and his love to the public. Cassius reminds Brutus that Caesar is just a man, not a god, and that they are the same as Caesar. So why would they suddenly have to bow to an ordinary man? This phrase is meant to mean that fate is not written in the universe but inside their mind.