No, this is not a public good. Firefighters work for money and save lives for a living. The government already provides this good to the public, by hiring the firefighters. In my opinion, the government should always provide this good, if someone is in the dire help of need and has no way out of fixing it, ex. fire, then who would be able to save them? The public? I wouldn't think so. A public good is defined as a fundraising organization raising money, or doing something for no profit.
The Aryans influenced Hinduism by their worship of many deities/gods (also called polytheism), and their belief in reincarnation.
