No
No.
If you're talking about the Nationalsozialistische Deutsche Arbeiterpartei, yes, you should capitalize it. If you aren't and are, for example, speaking of grammar Nazis, opinion differs: Webster's notes that the word is "often not capitalized." On the one hand, "French" is capitalized when it concerns French bread and not the French nation while, on the other hand, the makers of Scrabble don't capitalize "Nazi". I think I prefer to capitalize.
If it's any planet other than Earth, always capitalize it. If you're talking about the planet Earth in an astronomical context, or in any other context where you feel a need to clarify you are specifically talking about Earth and not some other planet, capitalize it. For example: "Temperatures on Earth range from -89°C to 57°C." If you're using the word 'earth' in more of a casual, day-to-day sense, don't capitalize it. For example: "The tree branch broke off in the wind and fell to the earth with a thud."
Depends on whether you are talking about the place or the entity. The place you'd go on vacation would be the state of Wisconsin, but you pay your taxes to The State of Wisconsin.
Yes..
No, but you should capitalize American. If the specific branch of the military is named, it should be capitalized.
Yes.
You capitalize Huntington
Yes, always.
If you are talking about it as a field of study you would capitalize it, but if you say I study math in general then not capitalized
Yes, always if you are talking about a specific star. (i am an earth science teacher)
If you are talking about the building in Washington, yes. If you are talking about a five-sided geometrical figure, no.
Yes, when talking about a specific company, the "c" in company is capitalized. For example, "I work for Microsoft Corporation."
Capitalize your 'I'. I have no idea what you're talking about.
I honestly Don't know
When you are talking about a specific university, you should capitalize it as a proper noun. When you are talking about universities as place, you can leave it lowercase. Which university does she go to? She goes to Stanford University.
Yes, as it is a job title.
No, the term "real estate broker" is not typically capitalized unless it is at the beginning of a sentence or part of a title.