The license and registration and nonresident's operating privilege suspended as provided in Section 32-7-6 shall remain suspended and shall not be renewed, nor shall any license or registration be issued to that person for a period of three years or until:

(1) The person shall deposit or there shall be deposited on his or her behalf the security required under Section 32-7-6; or

(2) Two years shall have elapsed following the date of the suspension and evidence satisfactory to the director has been filed with him or her that during that period no action for damages arising out of the accident has been instituted; or

(3) Evidence satisfactory to the director has been filed with him or her of a release from liability, a final adjudication of nonliability or a duly acknowledged written agreement, in accordance with subdivision (4) of Section 32-7-7. In the event there shall be any default in the payment of any installment under any duly acknowledged written agreement, then, upon notice of default, the director shall forthwith suspend the license and registration or nonresident's operating privilege of the person defaulting which shall not be restored unless and until:

a. The person deposits and thereafter maintains security as required under Section 32-7-6 in the amount the director may then determine; or

b. Two years shall have elapsed following the date when the security was required, and during that period no action upon the agreement has been instituted in a court in this state.