Any person or corporation who is surety upon the official bond of any county official or county employee may discharge himself or itself of the suretyship upon making sworn application in writing addressed to the official, county commission, board, or commission required to approve the bonds, setting forth the reason for requesting discharge. Upon the filing of the application, the official, board, or commission to whom the application is addressed shall forthwith cause personal written notice to be served upon the county official or county employee as principal fixing a day not less than 15 nor more than 30 days after the date of the filing of the application requiring the county official or county employee to provide a new bond. Upon the failure of the county official or county employee to provide the bond within the time specified in the notice, he or she vacates his or her office or employment, and the official, county commission, board, or commission giving the notice shall at once certify the vacation to the appointing power required by law to fill the vacancy. If a new bond is filed, it shall be in the amount and filed and approved as provided in this chapter. On the execution, approval, and filing of the new bond, the original surety is discharged from all liability for any breach of the bond occurring thereafter, but the discharge shall not affect the liability of any of the obligors for any actions or inactions occurring prior to the execution, approval, and filing of the new bond. In case of the discharge of any one or more obligors under this section, the discharge shall operate as a discharge of all other obligors on the bond. When the sureties on either bond have made any payments thereon on account of the principal obligor therein, they are entitled to the same remedies and recoveries against the sureties in the remaining bonds as provided in Section 11-2-29. Every such new or additional bond approved and filed as provided in this section is binding upon the obligors from the time of its approval and subjects them to the same liabilities, proceedings, and remedy as are provided in relation to the first official bond of the county official or county employee.