I feel bad about what happened but I don't feel that I did anything wrong.
Why don't you feel in the wrong?
I really feel like I'm right and he can't be reasoned with. What do you think?
It is fine to stick with your feelings if that is what you trust the most. Not doing so could lead to worse outcomes.
That is how I felt about the whole situation.
Just make sure you do what you think is right and you won't have to worry about regret over the situation.