What do calamity/rescue volunteers bring with them? Do they have a special kit, or something?

Answer 1

Have a look at these webpages, and find out for yourself (all it takes is a simple internet search)

http://www.theirc.org/what/emergency_response.html
http://www.intrescue.org/ (operations/equipment page)
http://www.britishcivildefence.org/IETAT/ietat.html#IETAT

Answer 2

One of my sisters is an emergency R.N. (registered nurse). She always carries one of those plastic things to put over someone's mouth when she gives CPR (cardiopulmonary resuscitation). I think it's called a mouth-barrier or guard.

Answer 3

Call your local Sheriff's Dept, Search and Rescue, they can tell you