The thing to rule out, rarely, is that what you are hearing is breathing rather than calling. A call starts and stops and has a shape to it; a respiratory noise is attached to every breath.
So if you hear rattling or wheezing on each breath, or see discharge at the nostrils or eyes, swelling round the face, or a bird gone quiet and off its feed, that is a vet rather than a cockerel problem. Nothing in your description points that way.