The amount of the arrearage due under the support order determined to be in default pursuant to sections 3123.01 to 3123.07 of the Revised Code, and any amounts due for current support that become an arrearage after the date the default determination was made, shall be a lien against all personal property, including after-acquired property, of the obligor that is situated in this state. The lien may be filed with the county recorder in each county of the state in which the personal property is located. The amount of the arrearage due under the support order determined to be in default and any amounts due for current support that become an arrearage after the date the default determination was made, shall be a lien against real property, including after-acquired property, of the obligor after the lien is filed with a county recorder of this state in which the real property is located. A lien may be filed with the county recorder in each county of the state in which real property of the obligor is located. In recording the lien, if registered land is involved, the county recorder shall take all necessary action required by Chapter 5309 of the Revised Code. The county recorder may be compensated for liens filed under this section pursuant to the development of unit costs that are reimbursed under the provider contract entered into pursuant to Title IV-D of the “Social Security Act,” 88 Stat. 2351 (1975), 42 U.S.C. § 651, as amended.