first of all, i dated a guy...with your name, and he cheated on me 2. maybe you're the same guy? who knows, and who cares.
that girl will never like you if you don't prove that you're a man and fix your past...
of course you regret it..you got caught, and imagine how that girl must have felt. it's never a nice feeling. so my advice is go to this girl, face to face...make sure she knows how sorry you are, and mean it. if it sounds the slightest bit insencere she'll tell her friend and then it's game over.
next go to this girl, and confess your feelings to her...let her know you'll do whatever it takes to prove that you're no player, you're just a guy who made a stupid mistake. tell her you cleared up your past, and be kind! give everything some time...and don't depend on relationships all the time.
good luck, and i hope everything turns out all right.

1) You can't 'make' a girl like you, sweetie.
&any chance you get, show her you're sweet. Just don't over do it. Because if you over do it, she'll think your even more of a player.

To get her to like you, you have to prove to her you are what you say you are. Open doors and actually care about everything she does. Be yourself most importantly. If she cant get past what happened, she's not worth it anyway.