How do I get my parents let me leave vacation early?

In short, I'm miserable. Me, my mom, and my dad went from Massachusetts to the Bahamas. We're staying for a week and only just got here today. First things first, my mom threw up in the plane. Then I was scared the entire flight she would again. We got here and right when we got to the hotel my dad started screaming and throwing his phone around the room because they charge a security fee. My parents have been yelling at me because of the fee and how the travel company ****** us over. Also, I'm unable to sleep in a quiet room, and what do you know, the ac is dead silent and my headphones broke today! I just want to go home. I miss my kittens and my boyfriend. I found a flight that I'd be willing to take alone and pay for but I don't know how to ask, and I'm scared my parents will be pissed.