Delay Delay Delay

Throughout Shakespeare's play Hamlet wants to kill his uncle Claudius. Throughout Shakespeare's play I have admired Hamlets efficiency in killing Claudius........................................

Claudius, from Hamlet's viewpoint, has every right to die. The death of King Hamlet was cruel and the way Claudius betrayed his brother made it even more of a terrible death. In the first act Hamlet is commanded by the Ghost to revenge his father's "foul and most unnatural murder" (1.5.25). Hamlet promises that when the Ghost tells the story of the murder, his revenge will follow: "Haste me to know't, that I, with wings as swift / As meditation or the thoughts of love, / May sweep to my revenge" (1.5.29-31). However, at the end of the scene he doesn't seem to be in a big hurry. He exits saying, "The time is out of joint: O cursed spite, / That ever I was born to set it right!" (1.5.189).  This act of delay is a common theme in this tragedy and is one of the flaws which is impossible to recover from. So why does the young Prince Hamlet feel the need to delay the killing of his uncle? 
I feel Hamlet wants to take revenge in most torturous way he can, and it takes him a while to think of how best to accomplish that. After all, he has many opportunities to kill Claudius in private. Instead, he repeatedly chooses public humiliations--the play-within-a-play he asks the traveling players to enact to embarrass his uncle, his refusal to kill Claudius while he's praying, and a duel at the play's end, with all the court watching.
Yes, he mistrusts the Ghost. Yes, he's reluctant to kill Claudius while Claudius is at prayer. Hamlet's problem, as he says himself, is that he's given to thinking "too precisely on the event." He is sort of pathologically devoted to examining every possible action in the minutest detail and he finds reasons to talk himself out of the very thing he has vowed to do.

However the irony behind this is that, in certain circumstances, he's capable of extremely rash and hasty actions such as the death of Polonius. 

Hamlet's fall  is because of his inability to act quickly; however, I feel that Hamlet should be forgiven. After all his father died and his mother married his father's murderer. Not the normal everyday family is it?