If he can marry Juliet
Count Paris visits Lord Capulet in Act I, Scene II, of Romeo and Juliet, to ask Lord Capulet for Juliet's hand in marriage. Lord Capulet stalls, telling him to wait until Juliet is older.
Paris is speaking to Lord Capulet in Act 1 Scene 2 of Romeo and Juliet because Paris is asking for permission to marry Juliet. Lord Capulet is considering the proposal and feels that Juliet is too young for marriage. He asks Paris to wait a few years before moving forward with the marriage plans.
Paris
Count Paris visited the Capulet house in order to ask for Juliet's hand in marriage. He had been informed by Lord Capulet that Juliet was of marriageable age and possessed of sufficient assets and beauty to make her a desirable bride. He was determined to win her hand and sought an audience with her and her family. Count Paris had several incentives for wanting to marry Juliet. These included: The wealth and prestige associated with a Capulet The beauty and grace of Juliet herself The potential political alliances that could be forged through the marriageCount Paris was ultimately successful in his quest and Juliet's father granted him permission to marry her. He was delighted and the two were soon betrothed.
Suit here means a request, like a lawsuit, not a set of matching clothes. Paris of course is asking Capulet to marry Juliet. Capulet is at first doubtful but later turns 180 degrees and forces the marriage on Juliet.
Paris
Lord Capulet supervised the plans for Juliet and Paris's wedding. The wedding was originally on a Thursday, but Lord Capulet moved the wedding to a Wednesday.
To get married to Paris, on Thursday
Paris
juliets hand in marriage
Paris
Lord Capulet arranges for Paris to ask for Juliet's hand in marriage. He believes that Paris is a suitable match for Juliet and wants to see her married to someone of high social standing.