No, it's not necessary.
Yes, you should capitalize "French" when referring to a French language class as it is a proper noun.
Yes, "French" should be capitalized when referring to the language or people of France in a class context.
No. It is capitalized at the beginning of the sentence or when it forms part of the proper noun. Example: Monique Language School
In general, you do not need to capitalize class subjects unless they are proper nouns or the first word of a sentence. For example, you would capitalize "English" but not "mathematics" in a paragraph.
No.
Mrs and Jone should be capitalized. If 'language arts' is the full (official) title of the class then it should be capitalized too.
No. Class should not be capitalized.
If "social action" is the full, specific name of the class then it should be capitalized. Otherwise, it shouldn't be.
No, "sign language" is not typically capitalized in a sentence unless it is part of a title or at the beginning of a sentence.
Yes, you capitalize Spanish because it is a language and culture.
Jacob took a French class at the University of Arkansas in the fall.
Yes, you should capitalize "English" in a resume as it is a language and proper nouns such as language names are typically capitalized.