Are the United States District Court for the Northern District of Georgia and the United States Court of Appeals for the Eleventh Circuit required to apply relevant precedent established in Slack v. McDaniel, to a Georgia state-prisoner's case?

QUESTION(S) PRESENTED G) Are the United States District Court for the Northern District of Georgia and the United States Court of Appeals for the Eleventh Circuit required to apply relevant precedent established in Slack v. McDaniel, to a Georgia state-prisoner's case? (2) Is the Georgia Supreme Court required to apply its own established, relevant precedent to a state-prisoner's appeal consideration? (3) Is it an abuse of discretion when Georgia State-Trial and State Appellate Courts disregard relevant evidence of negligence and make decisions conflicting relevant precedents established by the United States Supreme Court? i