Capitalize Lawrence and Juliet in the first paragraph. Other than that, it's a pretty solid introduction.
In the second paragraph, make sure to close the quotation that you started on "deny thy father..." -Capitalize Capulet since it's a last name. -Change Romeos to Romeo's -Again, close quotations "I gave thy mine.."
The rest of the writing is fine, just be sure to capitalize things and close quotations. :)