Connection between Izzy's feelings and fer first quotation is Option 4: "Just like Juliet, Izzy's goals are at odds with her parents' plans".
Explanation:
William's Shakespeare's "Romeo and Juliet" is a doomed story about two young lovers who are from the feuding families. Juliet fell in love with Romeo while her parents Capulet and Lady Capulet wanted her to marry Paris. Thus, they had different plans for Juliet.
For Izzy, this world is stage where she wanted to act. `When she says the lines where she asks her father to be patient and listen to her, the connection between her and her first quotation is that her father also has different plans from him than what she thinks.
The stanza that describes the peaceful state of the world on the night Christ was born is the very first stanza, which talks about not only the world but the specific location of his birth.
Rogue waves come out of nowhere. They cannot be predicted, and they are extremely dangerous to ships and people. Large enough ones have capsized shipping carers and cruise boats.