They're not "different things", in that public ethical debate (plus of course legal, civic and political debate as well) is often a matter of judging and balancing disputes between previously existing "rights". Moreover, inner morality, public ethics and moral philosophy all address the same basic topic of "how we should live". But this is not to say that either "morality" or "ethics" mean nothing more than "How should we live?". Indeed, you have previously referred to ethics as 'the... stud[y of] moral questions', implying some sort of rigorous inquiry. Conversely, philosophers routinely talk about "descriptive morality" when they need to refer to moral values or socially-endorsed moral codes as they actually exist in the real world without endorsing them normatively.