You must understand that there are many things that would be best done without the use of magic. Magic is not something to be relied on to fix every little problem we may face. Personally, I use magic because I'm not satisfied with how the world works and I want to make changes in my life that I couldn't do by normal means.
When it comes to an apology you just have to do it, no magic involved. If the person refuses to forgive you then you have to just accept it; forgiveness, like it has already been said, is not something that can be forced. Forgiveness is up to the person who has been wronged and it is their decision, not yours.