(B) Chapter 2743. of the Revised Code applies to a state university or college when its law enforcement officers are serving outside the university or college pursuant to an agreement entered into pursuant to division (A) of this section. State university law enforcement officers acting outside the state university or college by which they are employed, pursuant to an agreement entered into pursuant to division (A) of this section, shall be entitled to participate in any indemnity fund established by their employer to the same extent as while acting within the employing state university or college and are entitled to all the rights and benefits of Chapter 4123. of the Revised Code. The state university law enforcement officers also retain their personal immunity from civil liability specified in section 9.86 of the Revised Code. A township, municipal corporation, county, park district, or township park district that enters into an agreement pursuant to division (A) of this section is not subject to civil liability under Chapter 2744. of the Revised Code as the result of any action or omission of any state university law enforcement officer acting pursuant to the agreement.