My Reaction to 1.1-2/Hamlet's 1st soliloquy

In Act 1, Scenes 1 and 2, I was drawn into the play very quickly.  As the story began, and we learned about the mysterious ghost which almost forced you to wonder who the ghost was and why it was there.  Also, it was  interesting to read and watch about Hamlet's story and how his father died and his uncle then married his mother.  Although I've never been in this type of situation, I couldn't help but to sympathize for Hamlet's utter heart ache for how dysfunctional his family has become.  His pain is showed clearly as he says his first soliloquy after his uncle convinces him to stay in Denmark.  As he talks to himself about the ridiculousness of his mother remarrying after only two month after his fathers death.  He talks about how great his father was - a king to his people, a loving husband and father, and an overall good man. He says that he was someone that his uncle could never compare to.  Hamlet pours his heart and soul out to himself and then finishes with the fact that he must keep his mouth closed and not say anything.  I find this a little strange because usually when people are very upset about a situation or circumstance that happened, they vent and then create a plan.  But Hamlet proposes to do nothing regarding the matter and it sort of makes me feel as if he is admitting defeat to his uncle and his mother.