To make peace with something, or come to terms with something, shows an open mind and an understanding of yourself, and that you understand that person/thing/event, and have actively decided to accept whatever it is because you are a good person and don't want to remain upset at something/someone.
To resign yourself to something means that you don't really like it, you don't really accept it, but you know it won't change, so you accept that it is what it is.