The performance of any act subject to the provisions of sections 416.410 to 416.560 by a person who is a nonresident of this state shall be deemed:
(1) An agreement by him that he, his executor, administrator, successor, assign, or other legal representative, shall be subject to the jurisdiction of the courts of this state in all actions and proceedings brought against him, his executor, administrator, successor, assign, or other legal representative, by either the state of Missouri or a resident or nonresident plaintiff for violation of the provisions of sections 416.410 to 416.560; and
(2) An appointment by the nonresident, his executor, administrator, successor, assign, or other legal representative of the state of Missouri, as his lawful attorney and agent upon whom may be served all process in suits pertaining to the actions and proceedings; and
(3) An agreement by the nonresident that any process in any suit so served shall be of the same legal force and validity as if personally served in this state.