THE ROAD BACK HOME - After Odysseus is left alone, Zeus helped keep him out of Scylla's eyes so he did not die. Odysseus then drifted in the sea for 9 days before he made shore, buoyed up by the gods, upon Ogygia Isle. The dangerous nymph Calypso lives and sings there and she ended up loving him. Finally, Phaeacian gave him a ship to finally return to Ithaca.
ATONEMENT - Odysseus has to do many things to get his kingdom back in order. Firstly, Athena turns him into a beggar so the suitors will not try to kill him right away. Odysseus then reunites with Eumaeus and Telemachus and they devise a plan to massacre the suitors to regain control of his kingdom. A few days later, Penelope decides to make a contest that whomever wins will get her hand in marriage. All the suitors fail to string the bow, until Odysseus steps up. After he had won, he turns the bow on the suitors and him and Telemachus kill every suitor there was.
RESOLUTION - Penelope's test was a test that only Odysseus has ever passed. After all the suitors failed and Odysseus won and proved it was him, he reunited with Penelope.