This section does not apply to an award against the Subsequent Injury Fund. The Commission shall impose an assessment of 10%, not exceeding $4,500, against compensation awarded or likely to be awarded against an insured or self-insured employer and not paid if the Commission determines that the compensation is not awarded or is abated because of: death; or lack of a covered employee or a dependent of a covered employee eligible for the compensation. On expiration of the time period within which a claim may be filed under this title, the Commission shall assess the insurer or self-insured employer $4,500 if a covered employee dies: due to an accidental personal injury or occupational disease; and without any surviving dependent. The Commission shall direct payment of an assessment under subsection (b) or (c) of this section into the Fund.