If you wrote something like; I study math, reading, and science. No. These are not proper nouns. If you gave the name of a particular book or form of study you would use caps. The word "English" you use caps because that is a proper noun.
No. high school and college are not sapitilized( unless its the first word of the sentence...DUH) the reason that it's not capitilized is because it's a common noun. Here's an example:
My best friend, Domo, goes to a high school.
My best friend, Domo, goes to Silverado High School.
Spongegar goes to college.
Spongegar goes to UNLV.
You see high school and college are common nouns. Silverado High School and UNLV are proper nouns. Common nouns aren't specific like city, dog, house, street, but to make those into proper nouns it would be something like Portland, Boxer, White House, Sesame Street.
study
Only at the beginning of a sentence. It is a place, but it's like "school." You don't capitalize "school" when it's in the middle of a sentence.
no
Yes.
You mean if you are writing out the number like "thirty-five"? No. You don't capitalize it in the middle of the sentence.
You capitalize Judge Smith. You do not need to capitalize retired as it is not part of his title.
yes
No.
No.
No you don't.
No.
no
No, unless it is part of a proper noun or the first word in a sentence. The word "beef" should not be capitalized in the middle of a sentence.