Repentance

Hello, Your Honor. I wanted to know about repentance. Do I repent so that God will forgive my actions or do I repent for myself, to do soul-searching? If it is so that God will forgive me, what virtue is there in that? Am I preventing myself from any kind of judgment? And in general, if the entire Torah is not intended for reward and punishment but only to be a law of life and to correct a person, then what does it matter to repent before God? It is enough for a person to understand his actions for himself and correct his ways out of the insight that the Torah is the correct path to perfection.
If there is no private providence, does God, the Blessed One, at least "hear"? And should we address Him in the second person in prayer? And what virtue is there in addressing God during repentance or prayer?