Can lower courts delay and deny access to Habeas Corpus while maintaining Constitutional adherence?

QUESTION(S) PRESENTED 1) Can lower courts, delay and deny access to Habeas Corpus, and maintain Constitutional adherence's to such right? 2) Can a Person break Federal Jaw, when he runs his company in compliance with the State laws governing his management of said company? 3) Can a District court, allow a prosecution against a person, without an affidavit supported complaint being filed, warranting the persons arrest? 4) Does the Postal Inspector, hold Police power over the USPS routes and have arresting power? Is proof of mail fraud required to arrest? 5) Is a Grand Jury designed, for the purposes of protecting a citizens rights under the Constitution? 6) Can the search of property, be initiated without the evidence of any search warrant, supported by affidavit of probable cause? 7) Can an attorney, lacking in Art. II, sec. Il, cl. 1, “Appointments Clause” adherence, be allowed to present a prosectuion for the United States Executive?