In the event of a liquidation pursuant to § 419 of this title, after exhausting the security required pursuant to § 404(b)(2) of this title, the Commissioner may levy an assessment against all groups to assure prompt payment of benefits. The assessment on each group shall be based on the proportion that the premium of each group bears to the total premium of all groups. The Commissioner may exempt a group from assessment upon finding that the payment of the assessment would render the group insolvent. The assessment shall not relieve any member of an insolvent group of its joint and several liability. After an assessment is made, the Commissioner shall take action to enforce the joint and several liability provisions of the insolvent group's indemnity agreement, and shall recoup:
(1) All costs incurred by the Commissioner in enforcing such joint and several liability provisions;
(2) Amounts that the Commissioner assessed any other groups pursuant to this section; and
(3) Any obligations included within § 419(f) of this title.