The district courts of the United States shall have jurisdiction of proceedings instituted pursuant to this subchapter and shall exercise the same without regard to whether the aggrieved party shall have exhausted any administrative or other remedies that may be provided by law.

The remedies provided in this subchapter shall be the exclusive means of enforcing the rights based on this subchapter, but nothing in this subchapter shall preclude any individual or any State or local agency from asserting any right based on any other Federal or State law not inconsistent with this subchapter, including any statute or ordinance requiring nondiscrimination in public establishments or accommodations, or from pursuing any remedy, civil or criminal, which may be available for the vindication or enforcement of such right.