No.
If you are writing a letter to your mom, then yes, Mom should be capitalized. However when you are simply talking about her, it would not be.
Yes; "Your Honor" should always be capitalized.
No. it's not necessary.
No, mathematics does not need to be capitalized. As far as I'm aware, the only studies that need to be capitalized are languages.
If being used alone at the end of a letter then it should be capitalized. If it's following the word "yours" then it shouldn't be capitalized.
No, the southern Pacific Ocean does not need a capital letter. In general, only proper nouns need to be capitalized, and "southern Pacific Ocean" is a common noun. However, if it is part of a specific name or title (e.g., Southern Pacific Oceanic Commission), then it may be capitalized.
No they shouldn't be capitalized.
Yes, countries are capitalized in Italian.Specifically, the first letter of ordinary nouns is not capitalized. But the first letter of proper nouns tends to be capitalized. Countries are proper nouns whose first letter is capitalized.
If you are writing a letter to your mom, then yes, Mom should be capitalized. However when you are simply talking about her, it would not be.
There is no such thing as a law letter. A noun should be capitalized if it is used as a proper noun.
Yes; "Your Honor" should always be capitalized.
The first letter of a sentence, proper nouns (such as names of people, places, and things), and the pronoun "I" should always be capitalized in writing to indicate their importance.
It should only be capitalized if it is part of an official name of a country.
no
No. it's not necessary.
Each first letter should be capitalized. So it will look like "Miss Social Butterfly".
When it is at the beginning of a sentence, or at the end of a letter. I don't see it capitalized anywhere else.