Morality has an objective reality insofar as it is widely agreed as the dominant set of ethics for a particular culture.
Ethics are subjective and personal.
There is frequently a high degree of overlap between these two.
But it is possible for an individual to be highly ethical and yet not following the majority of morals held by the surrounding culture. An animal rights or ecological activist would be an example on the positive side. A crime syndicate boss or a terrorist would be an example on the negative side.