“Surety insurance” means:
1. Becoming surety or guarantor for any person, in any public or private position or place of trust, whether the guarantee is in an individual, schedule or blanket form; or
2. Becoming surety on or guaranteeing the performance of any lawful obligation, undertaking, agreement, or contract, including reinsurance contracts connected therewith, except policies of insurance; or
3. Becoming surety on or guaranteeing the performance of bonds and undertakings required or permitted in all judicial proceedings or otherwise allowed by law, including surety bonds accepted by state and municipal authorities in lieu of deposits as security for the performance of insurance contracts.