Can parole officer deny my right to education, library use, and extend my parole over polygraph results came up deceptive?

You can consult with your criminal defense attorney (or a new one) to determine whether you can bring a sound challenge to the parole officer's instructions, by administrative complaint within the parole system and/or by legal challenge in court. But keep in mind that parole officers have extensive legal powers and that their discretionary judgments are only rarely reversed or negated by higher administrators or be the courts. Parole is not a status that has much "of right." Your "right" is to finish out your sentence without the benefit of parole. Parole is, by the state's lights, a gift that is given expressly and explicitly in exchange for you surrendering certain rights that you would otherwise have. In the circumstances you describe, if there is any basis that your parole officer can articulate (an extremely low standard for any experienced law enforcement person) for restrictions #1 and #2, those are very likely to be upheld and you will simply need to find another way to progress in your education or defer that effort until you are no longer on parole. Restraint #3 is more questionable. See a lawyer about that issue.