No, He refers to God. It's only from those that have faith that it is used as such and to capitalize he in referrence to Satan is surely bad taste if not blasphemy.
Yes, Satan should be capitalized.
You capitalize Huntington
Yes, always.
No
no
The word Satan should be capitalized because it is a proper noun. Although some people may refuse to capitalize the word as they believe it gives Satan "power" or "status".
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
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.