Is it necessary to have a hosted website to use facebook api, to authenticate users using facebook?

No you can authorize even for localhost as http://localhost is a valid url, you just need to fill in to site url in the developers application.

I cant really gove you an answer,but what I can give you is a way to a solution, that is you have to find the anglde that you relate to or peaks your interest. A good paper is one that people get drawn into because it reaches them ln some way.As for me WW11 to me, I think of the holocaust and the effect it had on the survivors, their families and those who stood by and did nothing until it was too late.