No it’s not wrong for you to want her back not at all. Just because a break up was your fault doesnt mean the feelings weren’t real for her. If you want her go fight for her.
When she’s babbling on about something. When you’re arguing. When you see her. When you’re with her. When you’re with your friends. When she cries. When shes happy. When she does something you love. After you ask her out. After she says she loves you. After you just kissed her. Before you leave. My point is, whenever you get the chance to kiss her, kiss her. It makes her feel loved.
I think one of the saddest things is when two people really get to know each other: their secrets, their fears, their favourite things, what they love, what they hate, literally everything, and then they go back to being strangers. It’s like you have to walk past them and pretend like you never knew them, never even talked to them before, when really, you know everything about them.