OK, two questions:
Did you plead guilty?
When you did so did you commit the federal felony of perjury by admitting facts establishing guilt that were untrue?
Pretty simple.
I don't want to read through all this again, but as I recall you pled. Having been to a couple of such proceedings myself, I know the judge time and time again admonished you to not plead guilty unless you were in fact guilty. He put you under oath and asked you to convince him you were indeed guilty. You were given many, many specific instructions that you were giving up numerous important rights by doing so and should not do so unless you were certain of your guilt and certain you were doing the right thing by entering your plea. Your allocution was under oath (and thus pain of perjury) and during this statement you had to admit your guilt - by admitting to specific facts establishing your guilt, facts corroborated by other evidence in the possession of the government, not just by simply saying you were guilty.
I dont want to come off as angry and vindictive but you pled and did your time. Get on with your life, a life I sincerely hope will be free of future criminal activity and full of nothing but happiness. Do not, however, try to convince anyone you are not guilty of that to which you pled guilty, since you either are guilty of that or of the perjury you committed when pleading. You made that bed first by committing the crime and then by pleading guilty to it.