The requirements as to security and suspension in section 303.030 shall not apply:
(1) To the operator or the owner of a motor vehicle involved in an accident wherein no injury or damage was caused to the person or property of anyone other than such operator or owner;
(2) To the owner of a motor vehicle if at the time of the accident the vehicle was being operated without his permission, express or implied, or was parked by a person who had been operating such motor vehicle without such permission; nor
(3) If, prior to the date that the director would otherwise suspend the license and registration or nonresident's operating privilege under section 303.030, there shall be filed with the director evidence satisfactory to him that the person who would otherwise be required to file security has been released from liability or been finally adjudicated not to be liable or has executed a duly acknowledged written agreement providing for the payment of an agreed amount in installments, with respect to all claims for injuries or damages resulting from the accident.