It's my sweet 16 birthday and my mom's 47th...?

and my birthday so far has been absolutely horrible. I stayed up till past midnight last night to finish her birthday gift and card, and today she was yelling and screaming at me. It's all because she said to pick one thing each to do, and I decided we could go shopping for an hour or so, but then SHE decided to go to the one beach she KNOWS I hate. The water is freezing and choppy, there's dog poop in the sand and it's so incredibly windy that sand gets in your eyes if you open them for even one second. The last time we went there (which was just 4 days ago), I sat for 3 hours all by myself on the sand with a towel over my head. So I asked her if I could stay home and write (I love writing poems) while she went to the beach with my sisters. And she got so mad that now she's spending the day with my sisters and I have to stay home on my 16th birthday all by myself. Is this fair?