A pen name used by an author instead of his real name is a pseudonym.
When you put the quotation marks you then write said (name of whoever that is talking) e.g
''I took timmy for a walk''said lisa
A sentence, because it has a subject and verb( well technically a helping verb-are)
The answer is C. The first one is totally a fragment!
Alex and himself. He wants to be better and is worried he will not do well.