The word otherwise is an adverb. It means to do something in a manner that is different.
Another is a determiner.
Elsewhere is an adverb.
The word in is sometimes used as a noun, in the context of, I've got an in with the president. This would be considered a colloquial usage.
I cannot think of any way the word 'everywhere' could be used other than as an adverb.
I believe it is a subject complement, what used to be called a predicative adjective. Game over is really a kind of contraction of The game is over.
The ly makes it an adjective. Otherwise: 'to amuse' 'to be amused' I believe it's a verb.
part of speech
The part of speech for this particular word is a noun.
what part of speech is beneath
what part of speech is work
adverb
the part of speech sashay is a averb
Did is a verb, and not is an adverb. Didn't is not any part of speech. It's a contraction of did and not.
The word speech is a noun.
Adjective
No, but it's part of a noun which the noun is the part of speech.
Yes, conjunction is a part of speech.