When the State and Federal appellate courts ignore and/ or refuse to respond to a denial of a fair trial claim/ does it violate and/ or abridge the Appellant's rights to petition for redress pursuant to the First Amendment to the United States Constitution?

Does the United States Constitution constitute a unilateral contract between the judiciary branch of the Government and the citizen/ thus imposing an imperative burden on the courts and the prosecution (State) to accord a criminal defendant his substantive/ fundamental United States Constitutional rights/ and if in failing to do so/ to what relief is a criminal defendant entitled to?

when-the-state-and-federal-appellate-courts-ignore-and-or-refuse-to-respond-to-a-denial-of-a-fair-trial-claim