Capitalize your 'I'. I have no idea what you're talking about.
Yes, always if you are talking about a specific star. (i am an earth science teacher)
Yes, when referring to a specific region like the North country, it's common practice to capitalize "North" to signify it as a proper noun.
Yes, when talking about a specific company, the "c" in company is capitalized. For example, "I work for Microsoft Corporation."
If your talking about a certain city like Sacromento then yes, but if your just talking about cities in general then no
You capitalize Huntington
Yes, always.
No
I will avenge my sister for talking all my barbies and their cloths.
Only the barbie was programmed to talk by the manufacturer. If you're talking about a barbie that takes a life of its own and starts talking on its own, no it is not possible.
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
If you are talking about the building in Washington, yes. If you are talking about a five-sided geometrical figure, no.
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.
Capitalize your 'I'. I have no idea what you're talking about.
If you are talking about father's in general, then no. You only capitalize it when you are talking about your specific father or the lord.
If you are talking about a particular person who has that exact title, then it is correct to capitalize Accounts Payable Administrator.
Talking about an unidentified chief I would not capitalize the word, but if I was using it as a title of a specific person, such as Chief Wiggum, I would capitalize it.