(a) If the applicable assets of the estate are insufficient to pay all claims in full, the personal representative shall make payment in the following order: (1) Court costs, publication costs, and bond premiums; (2) Funeral expenses, not exceeding $1,500; (3) Fiduciary and attorney’s fees, not exceeding $1,000; (4) The homestead allowance pursuant to section 19-101.02 and the family allowance pursuant to section 19-101.04; (5) Exempt property pursuant to section 19-101.03; (6) Reasonable and necessary medical and hospital expenses of the last illness of the decedent, including compensation of persons attending the decedent; (7) Claims for rent in arrears for which an attachment might be levied by law; (8) Judgment and decrees of courts in the District of Columbia; and (9) All other just claims. (b) No preference shall be given in the payment of any claim over any other claim of the same class, and a claim due and payable shall not be entitled to preference over claims not due.