What is Shakespeare "saying" about the theme of "religion" in Hamlet?

The above post is a good summary of the key religious
themes in Shakespeare's Hamlet. There is little doubt that the Christian religious
beliefs of the day are reflected in the play.

First, it is
clear that Shakespeare's audience believed it wasa sin to take one's own life. As
outlined above, Hamlet is so melancholy that he wishes he could take his own life and
alleviate his suffering; however, he cannot, for God has determined that to be a
sin.

And, because Hamlet is afraid not
to believe in either a heaven or a hell, he cannot take his own life. There is some
uncertainty as to the specifics of these places ("the undiscovered country"), perhaps,
but their existence is not in question.

Hell is a reality,
as presented by the Ghost in this play. He tells Hamlet he could tell him stories that
would raise the hair on his head, but he is forbidden to do
so.

Finally, dying without confession of sins is a direct
path to purgatory. That's why the Ghost is there, and that is why Hamlet does not take
advantage of his opportunity to kill Claudius who is (Hamlet thinks) confessing his
sins.

Without question, the religious beliefs of the day
are interwoven into the fabric of Shakespeare's Hamlet. Sin and the
confession of it, heaven and hell, and eternal damnation are all an integral part of
this story.