2.does Brown have true faith in his wife? and does her name really fit her personality?

Faith represents the stability of the home and the domestic sphere in the Puritan worldview. Faith, as her name suggests, appears to be the most pure-hearted person in the story and serves as a stand-in of sorts for all religious feeling. Goodman Brown clings to her when he questions the goodness of the people around him, assuring himself that if Faith remains godly, then his own faith is worth fighting temptation to maintain. When he sees that Faith has been corrupted, he believes in the absolute evil at the heart of man. His estrangement from Faith at the end of the story is the worst consequence of his change of heart. If he is able to be suspicious of Faith, Hawthorne suggests, then he has truly become estranged from the goodness of God.