A county mutual insurance company has the powers and is subject to the liabilities and duties of other insurance companies, except:

1. If the company is organized by the residents of a single county, the name of the county together with the word "county" must be embraced in the corporate name of the company.

2. Notwithstanding contrary territorial limitations in this chapter, a county mutual insurance company may operate and issue the following policies in all the counties of the state: a. Protection against loss or damage by any covered hazard to a seasonal dwelling if the primary residence is insured by the company in an authorized county. b. Protection against loss or damage by tornadoes; c. Protection against loss or damage by windstorms; d. Protection against loss or damage by cyclones; e. Protection against loss or damage by hail, except upon growing crops; and f. Protection against loss or damage by any hazard upon any risk upon livestock.