Statement 1 is incorrect because the appointment of District Judges is made by the Governor of the State in consultation with the High Court, as per Article 233 of the Constitution. The Chief Justice of the High Court is consulted but does not make the appointment independently. Statement 2 is incorrect because the control over District Courts and courts subordinate thereto, including posting, promotion, and granting of leave to persons belonging to the judicial service and holding any post inferior to the post of district judge, is vested in the High Court, as per Article 235 of the Constitution. The High Court is primarily responsible for the transfer of District Judges. The Chief Minister, part of the executive, does not have this authority.