What should one do if they see someone deliberately eating or drinking openly during Ramadan?
They must enjoin what is right and forbid what is wrong. If they fear harm from that person, they should disapprove of it in their heart but avoid sitting with them if possible. It is also preferable to seek the help of the authorities to prevent them from doing so.
What is the ruling on performing dry ablution (tayammum) instead of the ritual bath due to severe cold?
Whoever is sick such that he cannot use water, or finds the water cold and heating it is not possible, and the person would be harmed by using cold water, it is permissible for him to perform tayammum. He must make up what he prayed with tayammum, because this is a place where there is water. And Allah the Almighty knows best.
Can I start fasting based on the moon sighting of another country?
You must follow the moon sighting of the country you are in.
What is the ruling on a person who insists on praying in a specific spot and becomes angry if someone else prays there?
ruling on a person who persists in praying in a specific spot and becomes angry if someone else occupies it
Praise be to Allah, and peace and blessings be upon our Master, the Messenger of Allah.
Our Master the Prophet ﷺ forbade a man from habitually claiming a specific spot in the mosque as a camel claims its place (to sit); scholars consider this to be among the disliked matters (Makruhat). It is therefore obligatory to advise this individual that whoever arrives at a spot first has the most right to it. And Allah the Exalted knows best.