If Harry is a Horcrux

[fhmaneely]

Maybe this has been brought up before but if Harry is a horcrux, why 
would Voldie want to kill him? Would killing Harry destroy the Horcrux. 
Could the final scene be Harry realising himself to be a horcrux and 
commits suicide? What happens when a piece of your soul (as in a 
horcrux) is detroyed? Do you have chest pain or headache?  

I know this probably silly thinking, but maybe one of you intelligent 
people will kindly give your thoughts on this.

Happy New Year to All!
Fran