Are lower courts in the federal system to follow the case law of this Honorable Court?

QUESTIONS PRESENTED 1. Are lower courts in the federal system to follow the case law of this Honorable Court? Or, the case law of this Honorable Court is merely persuasive, and not binding on the lower courts? 2. Can the U.S. District Court for the District of Puerto Rico deprive the Commonwealth of Puerto Rico of the collection of taxes? 3. Can a company from a foreign nation appear as plaintiff in a diversity jurisdiction case without complying with the requirements established by the applicable case law of this Honorable Court? 4. Can a U.S.District Court impair the powers of the President as head of the Executive Branch, by not requiring the verification of foreign officers’ signatures from embassy or consular officers of the United States? 5. Can a U.S. District Court deprive The United States of America of a legitimate tax lien on a real estate property, based on an illegal foreclosure action based on an alleged senior lien held by a foreign entity not a juridical person?