There's always been a Stalker Suit in Strelok's hideout, that's pretty much the best one you can get so early on into the journey (it's on one of the numerous shelves in that room).
In fact you'd be hard-pressed to get any suit besides your rookie one in a reasonable amount of time.
As for being shot dead by the Military (there's a military installation right next to the marked exit, but you can use any exit you want as long as you carry the flash drive)use a lower walking stance (there's crouch and low-crouch) so they don't detect you right away, you can even hide from them if you get far and quiet enough they eventually give up.
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