The estate of an individual who is sentenced to imprisonment in a correctional facility in the Division of Correction is liable: first, for payment of reparation to each person injured by the individual; and second, for expenses incurred by the State to apprehend, prosecute, convict, and remove the individual. To determine the amount of liability under subsection (a) of this section, the court in which the individual is convicted shall direct its clerk to certify to the managing official of the correctional facility the amount of reparation determined by the court and the costs incurred by the State in the prosecution and conviction of the individual. The managing official shall maintain a record of the liability of the estate of the individual as certified by the clerk under subsection (b) of this section.