Is it normal to go back to a relationship after drifting apart ?

Is it normal to to go back to a relationship after two friends/lovers drift apart ,also to want to be in a relationship that you think it wont work?
Okay so i broke up with my friend 3 years ago , we were so close to the point of being lovers , anyways when we used to see each other it was all laughs , hugs , kisses and jokes ,now when i see her it's only a wave and a hello , the thing is she's African american and i'm white,which is so okay with me ,we are both females but i don't know if she's bisexual or a lesbian (she's one of these two ), and i don't know how my family would think about it , she lives in Los Angeles ,California , i live in San Francisco ,anyways i don't know if she loves me like before , now that she's a famous gym instructor whose got loads of fans , 3 years ago she didn't have a fan page on facebook , now she does , i'm afraid that the fans took my place and she loves them more than she loves me .