If they didn't read you Miranda at the proper time, you may have an argument that any statements you made after and evidence they gathered based on your improperly obtained statements may get tossed out. That said, they would still be able to use evidence that was properly obtained.
It is always a good idea to shop around for an attorney you will be satisfied with. Public defenders are often very good lawyers, but may have too many cases to give you the attention you desire. Avvo is a great place to find attorneys in your area.
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The protections of Miranda v. Arizona apply only to custodial interrogation.
Tell your criminal defense attorney about this, but it does not sound as though Miranda applies.
If it does, a motion to suppress whatever you were interrogated about might be needed.