Can I start fasting based on the moon sighting of another country?
You must follow the moon sighting of the country you are in.
How many prostrations of Quranic recital are there, and is it permissible not to offer them while reciting?
There is one prostration for the Quranic recital, and it is a Sunnah for which one is rewarded upon offering it. However, one who doesn`t isn`t punished. Therefore, those who fail to offer it aren`t considered sinful, rather they deprive themselves from the reward.
Is it permissible to sacrifice imported livestock (Such as Romanian, Australian, etc.)?
Praise be to Allah, and peace and blessings be upon our master, the Messenger of Allah.
As long as the sheep meets the prescribed Sharia age and is free from disqualifying defects, it is valid for sacrifice regardless of its country of origin. Therefore, it is permissible to offer sacrifices from various sources, such as: Romanian, Australian, Spanish, Indian, Sudanese, local (Baladi) livestock, and others. And Allah the Almighty knows best.
What is the ruling on a woman who gets her menstrual period while fasting?
If a woman gets her menstrual period while fasting, her fast (of that day) becomes invalid, and she must make up for the missed days after Ramadan. Allah has granted ease to women in this situation, and she will be rewarded for not fasting because she is following Allah’s command.