No.
No it shouldn't be capitalized.
Environmental and Humanities should be capitalized, but students should not.
No.
It should be capitalized when it is referring to the region.
It should be capitalized if you're referring to "The App Store", for example. However, it shouldn't be capitalized in ordinary sentences.
Yes, "Taiwan" should be capitalized as it is a proper noun referring to the country or region.
Yes. Georgia is always capitalized because it is a propernou n.
President should be capitalized if it is referring to the president of a country. However, if it is referring to a school president, or the president of a club for example, then it shouldn't be capitalized.
"Indian" should be capitalized when referring to the indigenous peoples of the Americas, such as Native American or American Indian. It should also be capitalized when referring to people or things related to the country of India.
Yes, Easternmost should be capitalized when referring to a specific location on the easternmost point of something, such as a country or territory.
It should be capitalized if referring to a name or a title.
Yes, "Mother Country" is typically capitalized when referring to one's homeland or country of origin.
Yes, "Football" should be capitalized when referring to the sport in general.
Tuesday is always capitalized when referring to the day of the week. "Capitol" should be capitalized when referring to a specific building, such as the U.S. Capitol building. "State" is not always capitalized, only when referring to a specific state within a country, such as New York State.
Yes, the word "Northerner" should be capitalized as it is referring to a specific group of people from the northern region of a country.
Yes, "Quarterback" should be capitalized when referring to the position in football.
No it shouldn't be capitalized.