Weeell, he could technically leave the country--but it wouldn't be a good idea. xD They generally just visit other countries on war missions and espionage and stuff, because other countries do nooot like them. And would try and imprison them.
Job-wise, Pilots have a variety of jobs! For instance, Talyafera's Roman is the Director of Candidate Affairs and oversees all candidate activities. My character Gabriel is a techie and does stuff like that. Some get sent on missions to patrol the city. Some could be doctors. They don't get sent out on war missions willy nilly, generally--if normal soldiers can do it, normal soldiers are sent instead usually, because Pilots are valuable assets. :3
A lot of us don't really RP their normal day-to-day work stuff (as a lot of it is pretty boring and paper work and stuff, haha). :3 If you need ideas for what a lot of us do with our Pilots, the Citadel threads are a good place to look! xD
Basically, they're pretty normal people who are living through extraordinary stuff. :3