Thinking of singing my ex girlfriends favorite song to get her back?

i cheated on her (cause i was dunk as hell) and know shes so sad and i was to sing My Love by justin timberlake i was thinking buying her a ring flowers and chocolate and going to her apartment and sing in front of her apartment with my friends (i'm in a band and i song like justin) do you thing that enough for her to take me back i think she'll like it cause im usually a jerk so if i do this i think it will show my soft side