What military unit do paratroopers belong to? Do #1 use equipment that makes them suitable for mountain rescue?
Paratrooper
A paratrooper is a member of a military unit that deploys parachutes.  A PJ is the acronym name for a military parachute jumper. PJs are an elite mountain rescue unit. 
Military parachutists functioning as part of an airborne force
Are paratroopers good at mountain rescue?