if the rear brakes are out of adjustment, then the park brake is also. and both will have poor performance. with drum brakes, its important to always verify the adjustment and thickness of the shoes prior to messing with the park brake. as one affects the other.
that's not quite right.
it is a good idea to only use fresh/new brake fluid. but not because of air. brake fluid is hygroscopic, it absorbs moisture out of the air. so an open/used container will have a higher moisture content than a new bottle. this will lead to poor brake performance, due to the lowered boiling point. the decreased performance will be amplified in extreme use, where there is excessive heat build up. the heat will boil the fluid, thus turning the water into vapor. liquid does not compress, gas/vapor however does.
also, additional water in the system promotes rust in the system. not a good thing.