Do you need a purpose to exist?
I believe so. I think we're all alive for a certain purpose. And whatever that purpose may be, it could be anything. I view life itself as self-discovery and finding your purpose for existing along with your identity is a part of it.

Do you need a reason to live?
Obviously. Otherwise, you wouldn't be alive. It could be the people that you love and care about. It could be your drive of wanting to acheive goals you set for yourself throughout life. It could be anything,

Do people need to know who you are for you to exist?
No, and it's okay. I'm pretty sure everyone is confused about who they are. It's a part of life.

Can you live with being a nobody?(Not KH Nobodies)
Yes but wouldn't life be just miserable not wanting to go out and explore what life has handed down upon us. Life is an adventure and goes by fast. So make the most of it and have an open mind.

Can you exist with being ignored by the masses?
Someone posted that there's like a billion people on the planet, would it really matter? Having the people that you value and care about is all you need.

Do you need recognition to think you even reside in this plane of existence?
Not sure about this one. It'd be a bittersweet thing for me...

If you weren't recognized by anyone, would you cease to exist?
haha, Not sure about this one as well. It'd be a good and bad thing I suppose. There's this part of me that likes being alone then there's this part of me that has this fear of being alone. Confusing?

If your purpose was fulfilled, would you continue to live?
**** yeah!!!! There's always something new as Celtic had mentioned. So get out and make the most of it!!!!!

Would you even have a reason to?
Damn straight. I believe everything happens for a reason and whatever will be, will be.