By page 9 I was really hooked, the main character Naomi was adopted so I related to that.
I liked that she had a hobby, and the secondary characters were important, as they'd probably need to be in a novel where the protagonist doesn't remember her life post the start of high-school.
Overall I loved how this wasn't a love story, it ended up being more a story about her finding herself and growing up. Amnesia is a good way to utilize this in a YA novel. But I think toward the end it may have just fell back into becoming a love story again. If it would've ended sooner I think I would've enjoyed it more.
But props for the Rosencrantz and Guildenstern Are Dead reference.