You had a right to appeal the SSA denial. If you did not, then SSa will continue to ignore your complaints.
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Social security would rather give you OASDI payments instead of SSI based on budgets and funding streams. They are required to look at that first instead of a needs based income. You state you did not have the credits. The lack of credits prevented you from qualifying. Not sure why you would complain. Unless they calculated your credits wrong that does nit sound like you appealed, you get what you are supposed to.
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You need to prove in your AC appeal (which you say you filed, right) that there was so much good evidence of being unable to work at any job way back when you were insured, that the AC is compelled to reverse it. Thus, look at the evidence the ALJ had, and find out what exists, but either never made it into his hands (did you fail to send him something?) or he ignored, that was MATERIAL to your disability. Study up on all of the rules an ALJ must follow, and determine from his hearing transcript and the Exhibits and his decision, which rules he did not follow - those that would have changed his answer had he followed them. Apparently, the SSA and the judge found that there was insufficient evidence of inability to work substantially until much later in time, when you were no longer insured. You need to prove that is not true, in a manner that the law says the AC can consider. You can't just say, the ALJ was wrong or negligent - you need to show how, why, where and what law agrees with you. If you lose at AC, consider getting a good federal court appeals attorney (in the SSD area of experience) to take it to federal court, or at least see if you have any issues you can appeal under with a likelihood of success.
I am sorry you got stuck with ssi only, but you need to call an attorney to make sure you can appeal within deadlines which apply or you won't be able to bring the issue up at all. My opinion is you may not be able to prove a mistake was made since you were last insured in 2006, but you should call anyway.