First thing first get a USCIS FOIA to obtain what USCIS has about your immigration history. This may take a couple of months, then consult an immigration lawyer.
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If it is in fact a deportation, then no.
You need to retain an experienced immigration lawyer to review all the facts, advise you, and handle the case. You can find one through http://www.ailalawyer.com.
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I don't think you will qualify for the I-601A. However, a definite answer is hard to reach over AVVO, because you are dealing with a long period of time and numerous entries into the United States. Your case is complicated, to say the least, and laws have changed over time.
My recommendation is not to send any further information or documents to USCIS until you consult with an immigration attorney, immediately. Several of us provide free initial consultation. Take advantage of that and get a thorough analysis of your case. I would not try to do this on your own.
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It sounds as though you would benefit from a FOIA request. Consult an immigration lawyer as soon as possible.
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