Sounds about right, lying about your name and letting them take your fingerprints was a huge mistake. Specially when mostly everyone knows the fingerprints stay in the system forever. That's how they catch delinquents.
If you do get denied, you also run the risk of being deported. It is up to you if you decide to apply and if you do, best of luck and hope you get the chance that some of us are getting.
If you were a minor when you were caught I think you have a bigger chance to get approved.