The first purpose that Richard's soliloquy appears to serve is to reveal the motivations and personality of the character - we can see that he hates himself because he was basically a hunchback, so he was pretty self-conscious about it. He also reveals in the first scene what he intends to do throughout the play.
As for the second purpose, I'd choose the answer - it informs the audience about the background of the plot, as it gives us reasons why Richard decided to do what he did.
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The end of Hamlet's life held one purpose: to his father's murder. Unfortunately, this vengeance also cost him his own life, as well as the lives of Ophelia, Polonius, Laertes, and his mother Gertrude. We must try to remember Hamlet as he was before his father's death: a diligent student and a leader of his people. Towards the end, as a sickness began to consume him, he lost some of the presence he once had, but he never lost the support of his people. We can all take comfort in the fact the struggles in his mind are now at an end.
Well there is no right answer because everyone has different way to overcome different problems in a situation.I say try talking to someone that you really trust.Like for me when I am feeling really low I go talk to my grandma because she makes me feel so much better.Or even try doing the things you love the most.Also here is another thought if you have an animal try going to that animal it is proven that animals can make you feel better just don't put yourself down because you can overcome anything by just being you and talking to someone.
I really hope this helps and best of luck to you! :)