Ideally, all the screws in question should be able to be tightned to a friction fit that will keep them where they belong and not put anything in a bind. However I have seen rifles where that's not the case.
On some locks, the threads on the the sear screw are cut to far up the shaft, such that if you were to tigthen the screw all the way down, it will bend the bridle arm and bind the sear. This problem can be fixed with a new properly threaded screw.
Likewise, on some rifles, tightening the lock nails can shift the position of the lock in its mortice and cause problems. This may be able to be fixed by carefully gluing some shims in the appropriate places within the mortice.
A simpler, but possibly more problematic cause could simply be holes that are too big for the screws. New oversized screws might remedy that.
And then there's Loctite...
Jeff
PS: Looks like a lot of answers all at once.. sorry for any repetition.