1.) Eurycleia I'm pretty sure
As someone who writes books, I'd normally use quotation marks, and the person is obviously talking, so the first one should be correct.
Answer:
B. The most savage tigers were found for the arena; beautiful ladies were also searched for.
Explanation:
Well it all depends on what you're writing about. When you write your rough draft think about the feeling it gives when reading it over. Then if it feels right, give it a go. This might not help much but think about how you feel while reading it.