Considering this, why is Mercutio dressed as a woman?
He was dressed up for a fancy party. There was no sense that he felt he really is a woman (transgender), or that he generally preferred to wear women's clothing (transvestitism). He simply wanted to be outrageous. Which is perfectly in character for Mercutio.
Beside above, what did Romeo wear to the Capulet ball? The proper attire was a long, black-buttoned down dress and a white apron and white head piece. -Shoes were to be all black.
Also asked, what would Lord Capulet wear?
Juliet and Lady Capulet would have worn taffeta, silk, gold, or satin gowns, and everybody would have had hats, gloves, ruffs (an elaborate collar), gloves, stockings, and shoes equally elaborate.
Why does Lady Capulet say a crutch?
By using the word "crutch," Lady Capulet not only implies that her husband is old, but also that he is in poor physical condition and, therefore, not at all suited to engage in fighting on the street with fit, young men.