What is psychoanalytic literary criticism?Can I only interprete the role's behavior?Do I have to connect to the author of the work?

Psychoanalytic literary criticism is the application of
one or more psychoanalytic theories to literature, for example, the theories of Freud or
Jung.  Lacan and Adler are two others whose theories are used for literary criticism. 
Certainly, an author can be the focus of this kind of criticism, as can the reading
audience.  In many instances, though, only the text is used. When one is assigned to
conduct psychoanalytic literary analysis, unless there is a specific requirement that
the author be part of that analysis, I am aware of no reason that it would be
necessary.

No matter what the focus is, the idea is that
the analysis is performed through the lens of one or more theories.  For example, if you
are analyzing a literary text, you might discuss Freud's stages of development in the
various characters or whether the characters are operating on their egos, ids, or
superegos.  From another perspective, you might inquire what Jungian archetypes
characters in a novel represent.  The works of Roberson Davies are frequently analyzed
using Jungian principles.  If you were analyzing the author of Peter
Pan, J.M. Barrie, you might be speculating as to whether Barrie exemplified
Freud's notion of arrested development.  If audience analysis is of interest to you, you
might want to consider the audience of the Twilight series, which
could be easily analyzed with Freudian or Jungian
concepts.

For a class assignment, it is always best to seek
clarification of what the expectations are, but there is no requirement to analyze all
three aspects, author, audience, and text, for this kind of
criticism.