Can you help me write a character sketch for Hamlet?

Family: 

Hamlet is the prince of Denmark. He is the son of King Hamlet and Queen Gertrude. His uncle, Claudius, secretly murders his father (Claudius' brother), marries Gertrude, and becomes the new king. 

About Hamlet: 

Hamlet is both educated and good at fencing. His outward appearance clearly illustrates he's in mourning and he's very critical of those around him, especially his mother and Claudius. 

Personality: 

Hamlet is an extremely indecisive young man. His inability to...

Family: 

Hamlet is the prince of Denmark. He is the son of King Hamlet and Queen Gertrude. His uncle, Claudius, secretly murders his father (Claudius' brother), marries Gertrude, and becomes the new king. 

About Hamlet: 

Hamlet is both educated and good at fencing. His outward appearance clearly illustrates he's in mourning and he's very critical of those around him, especially his mother and Claudius. 

Personality: 

Hamlet is an extremely indecisive young man. His inability to make decisions ends up being his fatal flaw as he chooses not to kill Claudius when he finally gets the chance to. While that's a very important trait of his, it's a good idea to note some others.

In addition to being indecisive, Hamlet is both bitter and angry. He hates Claudius and he resents his mother for marrying him. He's mourning the passing of his father and, during the beginning of the play, he blatantly tells his mother how horrible he feels. 

Furthermore, Hamlet is mentally and emotionally volatile - so much so that his sanity is called into question. That said, whether or not he's faking his "madness" (which would make him calculating and manipulative) is a debate that's still ongoing.

Relationships:

Hamlet is in love with a girl named Ophelia, though he begins to distrust her due to his mother's actions. Her "betrayal" of his father seems to have tainted his overall view of women.
 
Ophelia's brother, Laertes, does not get along with Hamlet at all. He warns her not to get involved with him and tells her that he's no good. In fact, Laertes even exists as a foil for Hamlet. While Hamlet overthinks everything and can't seem to act, Laertes doesn't hesitate to leap into action. 
 
While Hamlet loves Ophelia and hates Laertes, he seems indifferent to their father, Polonius, who is secretly helping Claudius by spying on him. 

Throughout the play, Hamlet's relationships with others are extremely tumultuous because his mindset (sane or insane) is constantly changing.