Read the passage from "Names/Nombres" by Julia Alvarez.

By the time I was in high school, I was a popular kid, and it showed in my name. Friends called me Jules or Hey Jude, and once a group of troublemaking friends my mother forbade me to hang out with called me Alcatraz. I was Hoo-lee-tah only to Mami and Papi and uncles and aunts who came over to eat sancocho on Sunday afternoons – old world folk whom I would just as soon go back to where they came from and leave me to pursue whatever mischief I wanted to in America. JUDY ALCATRAZ, the name on the "Wanted" poster would read. Who would ever trace her to me?

Which main idea is conveyed in this passage?

Julia’s nicknames help her fit into her new culture.
Julia is determined to hold on to her Dominican identity.
Julia is happier when she is with her family.
Julia’s Dominican name makes it difficult to fit in.