Erroneous is an adjective used to describe anything that is wrong, incorrect or inaccurate, this means a something that is erroneous is something that is incorrect, usually, because it contains errors or it is characterized by them and it goes against what is considered as truth. As a consequence, if a belief is erroneous it means that is wrong in one way or other and generally speaking is not in agreement with what is true. Thus, if a belief is described as being so wrong and in disagreement with true, it is an Erroneous belief.
I would say that d is the least effective choice because it is broad, has little detail, and has no proof. Many people would say c, but unlike d, c has proof to what you are trying to say.
No, almost everyone hated it. The Vietnam war was probably one of the most hated wars in the eyes of American civilians. It is what started to Hippy generation.