Yes.
All words in a title are capitalized except the articles, prepositio ns, a nd co nju nctio ns. Would should be capitalized while at is a prepositio n so it should not be capitalized.
No it would'nt.
If you write "Bob is the superintendent, no, it wouldn't be capitalized. If it's part of Bob's title (Bob Smith, Superintendent), yes, it would be capitalized.
No, but if you named the purple amethyst Shelly, then it would be capitalized.
No unless it is at the beginng of the sentence
Yes, if "Fun" is part of the official title of something, it should be capitalized. If it is just a descriptor in the title, it would depend on the specific style guide or preference of the author.
No. Of course it may depend on the usage, but prepositions are not normally capitalized in a title.
In a title, only capitalize the first word, proper nouns, and any other words that are typically capitalized (such as acronyms or the first word after a colon). So, "Be" and "Can" would not be capitalized unless they fall under these exceptions.
no
no
If it is used a title in place of a name, then yes. That would be difficult with this word, however, so usually it would be a reference to a position or status. That will not be capitalized. For example, if you say "John is our treasurer" it would not be capitalized. However, if you manged to use it as a name, like "come here, Treasurer," then it should be capitalized.
Yes except if the word of is there because that is not capitalized.