Should a pregnant woman who broke fast because of pregnancy make it up, and is a ransom due on her?

The pregnant and the suckling, if they fear for their health, may break their fast and make up for it, and no ransom is due on them. However, if they broke fast in fear for the fetus and the baby, then they are obliged to make up for it, and pay the ransom which is feeding a needy person for each of the missed fasting days.

Is it permissible for the guardian, or the father of the child to hit the latter in order to teach him/her good manners?

It is permissible for the guardian to hit his/her child for teaching them good manners once they become ten years old provided that it is done mildly, harmlessly and without intimidation. Actually, such punishment is to be employed gradually i.e. after: asking, warning, and scolding. As for the teacher, he isn`t allowed to hit the student unless the latter`s father approves of it, and it is done according to necessity without intimidation, or harm.

What is the ruling on cheating to pass High School Exams?

Is everyone obligated to follow the fatwas of his country, and if we adopt the fatwas of scholars of other countries, is it considered a sin?

: It is permissible for one who do not specialize in Shari `ah sciences to apply the opinions of renowned scholars whom he trusts ,whether they be from his own country or not ,but if the scholars don`t arrive at a consensus concerning a certain matter then he must consult someone who is more knowledgeable than himself .It is preferable that you(the inquirer) specify the case of your interest ,so that we could give you a more specific answer since some scholars deliver fatwas based on atypical opinions which should not be applied no matter what .And Allah ,The Exalted, knows best.