At the beginning of a sentence and when it forms part of the proper noun.
Example:
Harvard Law School
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Yes. It should be Worcestershire.
no, only the island's name needs a capital
Yes, it is a proper noun.
Yes spoder-man does have a capital letter BECAUSE even though it is a “fake” name it is still a name of a person/spider so there for it should be capital .
No. It's not necessary.