The fund may in its own name, or in the name of the State agency for which services are performed, do any and all things necessary to recover on behalf of the State agency any and all amounts which an employer might recover from third persons under Chapter 5 of Part 1 of Division 4 of this code, or which an insurer might recover pursuant to Section 11662 of the Insurance Code, including the rights to commence and prosecute actions or to intervene in other court proceedings, or to compromise claims before or after commencement of suit.