She asks for some way to get out of marrying Paris. If he can't think of something, she will kill herself and get out of it that way.
Lady Capulet wants Juliet to marry Paris, as she believes it will bring her daughter happiness and secure a good future for the family by aligning with Paris's noble lineage. She also seeks to maintain family honor and reputation.
In act 1 scene 2 Paris asks Capulet that he wants to marry his daughter, Juliet.
Different things in different scenes of the play. You must be more specific in your question if you want a more specific answer.
to marry Paris
Lady Capulet is busy preparing for the Capulet's masquerade ball.
Lady Capulet does not want to kill Romeo. She is Juliet's mother and does not harbor any intent to harm Romeo in the story of Romeo and Juliet.
Tybalt is associated with the Capulets, and he thinks of himself as a Capulet, but he is actually not a Capulet at all. He is the son of Lady Capulet's brother, and Lady Capulet is only a Capulet by marriage. That is why it is Lady Capulet, and not Lord Capulet, who is so furious with Romeo after he kills Tybalt.
Lady Capulet imagines that Juliet is crying because Tybalt, Lady Capulet's kinsman and consequently also Juliet's, is dead.
lady Capulet is a foli of the nurse and she's a flat character.
she was nice to other people, but she was very mean to lord Capulet.
I don't know about Lord Capulet, but I know for certain that Lady Capulet is fairly young. She tells Juliet that she was about her age when she was had her. This means that Lady Capulet is 26. I guess due to stress she can look a few years older though. For Capulet, I guess you can say that he is well dressed and groomed. He is from a wealthy family after all. The same applies to Lady Capulet.
Lady Capulet tells Juliet that she has arranged for her to marry Paris.
Lady Capulet wants Montague to remember that Tybalt, her nephew, was killed by Romeo, and she feels that Romeo should be punished for his actions. She believes that justice needs to be served for the death of Tybalt.
They are only referred to as Capulet and Lady Capulet.
Your question is unclear. Is Duty a different play from Romeo and Juliet which also has a character called Lady Capulet? (actually, the character in Romeo and Juliet was not called Lady Capulet in Shakespeare's time--since Capulet was no lord, she could not be a lady. She is called the much simpler "Mother".)
On the Capulet side, Tybalt, Lady Capulet, and Paris died. Tybalt was killed by Romeo, Lady Capulet died of grief, and Paris was killed by Romeo in a duel.