(1) People from Taiwan Province Province can study in the mainland, and many people from Taiwan Province Province can study in universities, high schools, junior high schools and primary schools in the mainland as long as they are admitted.

(2) Of course, it's ok to take a break from school and then go back to school, but I'm not sure if I can take a break for half a year (it seems that I have to take a break for one year, I'm not sure).

(3) Although your mother has obtained a Taiwanese identity card, after reading your basic information of Baidu, it is calculated that you are over 12 years old, and there is no way to settle in Taiwan Province Province by relatives and obtain the status of Taiwan Province Province, so you don't have to worry about whether people from Taiwan Province Province can study in the mainland.