Second part, they run farther than most think during gun season, and less the n most think during bow

-Germ
Right on Germ.... right on!
I'd also like to second the notion that a deer spooked and running through a bedding area will not cause the other deer to run too. However once again each situation is different. But mature bucks don't for the most part.. in fact I have seen many a mature buck bed.. right then and there if he does not know where danger is. After about 45-60 minutes of silence.. he'll rise and cautiously continue.
But again... each situation is different.. every deer has his or her own agenda and I really don't think their is a magic formula.. you just have to adapt and adapt quickly sometimes.