My chickens pay ABSOLUTELY no attention to my dogs, matter of fact they peck them if they get to close.
Now let someone bring a strange dog into the yard they don't know and it's heads up, tails up, wings down in the ready to take flight position and all kinds of squwaking and they usually try to "sneak" into the coop (they walk real slow as if they are trying not to draw attention to themselves) and up onto their roosts.
When mine are in the run they generally don't pay much attention to the hawks, I honestly believe they know their run is covered and they are protected, now if they are out free ranging and a hawk is spotted and the rooster gives the hawk warning call they run for cover. This is why they are not allowed out unless I will be out with them, the skies over my place are like the skies of Ohare airport, too crowded.