Short answers, pulled from the story.
Prometheus Unbound is a fragmentary Greek tragedy by the 5th-century BC tragedian Aeschylus. It follows the continued torment of the Titan Prometheus, who was punished by Zeus for giving fire to humanity, and culminates in the hero Heracles killing the eagle that ate Prometheus' liver each day and freeing the Titan.
Eleven fragments of Prometheus Unbound survive, preserved by later authors. A lengthy fragment was translated into Latin by the Roman statesman Cicero.
Prometheus Unbound is thought to be the second play in Aeschylus' Prometheia trilogy, following Prometheus Bound and preceding Prometheus the Fire-Bringer.
A chorus of Titans, recently released by Zeus from their imprisonment in Tartarus, opens the play. Scholars also propose a visit from Gaea based on a mistaken dramatis personae in Prometheus Bound. Heracles arrives later, kills the eagle tormenting Prometheus, and frees the Titan.
Yes. Shelley's play of the same title was inspired directly by the Aeschylean tragedy. Aeschylus' fragmentary work prompted Shelley to write his own version.
No. The play ends with Prometheus freed from his physical torment after Heracles kills the eagle, but the Titan and Zeus have not yet reconciled. Scholars believe their reconciliation was reserved for the trilogy's third play, Prometheus the Fire-Bringer.