Romeo says this during the balcony scene and right after he meets Juliet during the party. The moon is symbolizing Romeo's love for Rosaline and the sun is symbolizing Romeo's love for Juliet. So, Romeo wants his love for Juliet to rise up and be greater than and overcome his love for Rosaline. Why can't this child stick to one girl? Quite a player! :) ;)
Romeo wants the sun to kill the envious moon because he believes the moon is a symbol of unattainable love and beauty due to the moon's ever-changing nature. By having the sun kill the moon, Romeo is expressing his desire to rid himself of obstacles preventing him from being with his love, Juliet.
romeo says that the moon is envious because the moon was like the goddess of virgins and it is envious of Juliet's beauty. he then says "arise far sun and kill the envious moon for it is sick and pale with envy" he is saying that he wants to sleep with her. yes it is very perverted but if you studie the script a lot of it is.
Romeo was at the point married to Juliet, which is Tybalts cousin. therefore romeo did not want to kill Tybalt for Juliet's sake.
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.
He wants to swear by the moon, but Juliet doesn't want to hear him swear by the moon.
Because the moon is inconstant and ever changing, and Juliet wants to know that Romeo will love her forever.
she objects to his swear apon the moon because the moon changes and becomes dark and she doesn't want him leaving her
Feeling envious is the feeling kind of like jealousy, you envy someone, you want to be like them, or want to be them.
They were not dear to the moon because of the time they had together. They did not want the time to end.
Romeo buys the poison to kill himself because he does not want to live without Juliet once he finds out that she is "dead".
He was envious and jealous of Caesar.
I think this is referring to this bit of dialogue: Romeo: Lady, by yonder blessed moon I swear... Juliet: O, swear not by the moon [ ... ] lest thy love prove likewise variable. In other words, she's not telling him not to swear his love, she's telling him "Don't swear on the moon. It changes. I don't want a love that waxes and wanes." If you meant something else, please be more specific.
Romeo had to kill someone, in order for the sequence of events to happen properly. Tybalt has been set up as a quarrelsome man who imagines that he has a grudge against Romeo for crashing Capulet's party (Capulet didn't seem to mind) and so will inevitably create a fight, which creates the occasion for Romeo to kill him.