Hi Mirabelle,
I am a Buddhist, and I also believe in the good of all other religions. Like others have stated, for the time being when you are living with your family, you would be practicing Islam. I think the questions you asked your parents about why you are of that religion, and why it is bad to change religions are hard questions (but they’re really good questions!) and rarely do people have answers for these types of questions.
You’re not doing anything wrong, you’re just trying to be you and finding your identity 🙂
Take care!
Hana