No because it isn't a proper noun.
The word "faculty" should not be capitalized unless it is being used as part of a proper noun, such as the name of a specific faculty at a university. In general usage, it is considered a common noun and should be written in lowercase.
Yes, you should capitalize the first letter of each word in "Thank You" when writing a thank you card as it is a proper noun.
In the salutation "Good day to you," you only need to capitalize the first word, "Good."
When a sentence is enclosed in parentheses, you typically do not need to capitalize the first word unless it is a proper noun or the start of a new sentence within the parentheses.
Capitalize the word "legislature" when you are referring to a specific legislative body, such as the United States Congress or the Canadian Parliament. If you are referring to legislatures in a general sense, then you do not need to capitalize the word.
No, you do not capitalize the second word in the complimentary closing.
Unless "it's" is the first word, there is no need to capitalize.
No.
No.
Yes, the word "volcano" is not typically capitalized unless it is part of a specific name, like "Mount Vesuvius Volcano." In general usage, it is lowercase.
No, you never need to capitalize alligator unless it is the first word of the sentence.
Unless it is the first word in a sentence, then you don't need to capitalize "tobacco."
Nope no need to
No because it isnot a propernoun.
No there's no need for capitalization.
No, "assault" is typically not capitalized in a sentence unless it is at the beginning of the sentence or part of a title. It is considered a common noun.
No, not if you are using the word trout alone.
No, there is no need to capitalize the word bachelor's degree.