He finds out he is a horcrux when he talks to Dumbledore at the end of the seventh book. Harry ventures out to find Voldemort in the forbidden forest and ends up getting hit with Avada Kedavra by Voldemort. He wakes up in a dream like state where he finds Dumbledore and the piece of Voldemorts soul that was trapped inside him.
It depends what Horcrux your talking about, they do find them all and destroy them all though.
Yes, the horcrux inside of Harry Potter
No, only the Horcrux inside him was.
No, but the diary Horcrux, was destroyed.
The diary
The Ring
yes
Yes, Harry Potter found the Hufflepuff horcrux - the house's cup in Bellatrix Lestrange's vault at Gringotts.
No, he didn't die because he was Horcrux. Had he not been a Horcrux the killing curse would have killed Harry, instead of just the Horcrux.
He stabs the Horcrux right after they find Gryffindor's sword in the frozen pool.
if you mean the 7th horcrux, well it was harry Potter hope this helps
He did not die. He married and had three children. A small piece of Lord Voldemort's soul was in Harry Potter, making him a Horcrux, and when Voldemort hit Harry with the killing curse, supposedly killing him, he killed the Horcrux inside Harry.