After 2 days of swimming, note several phases of decision-making. Does Odysseus accomplish his rescue on his own?

No, he does not accomplish the rescue on his own; he gets lots of help;

After eighteen days at sea, Odysseus spots Scheria, the island of the Phaeacians, his next destination appointed by the gods. Just then, Poseidon, returning from a trip to the land of the Ethiopians, spots him and realizes what the other gods have done in his absence. Poseidon stirs up a storm, which nearly drags Odysseus under the sea, but the goddess Ino comes to his rescue. She gives him a veil that keeps him safe after his ship is wrecked. Athena too comes to his rescue as he is tossed back and forth, now out to the deep sea, now against the jagged rocks of the coast. Finally, a river up the coast of the island answers Odysseus’s prayers and allows him to swim into its waters. He throws his protective veil back into the water as Ino had commanded him to do and walks inland to rest in the safe cover of a forest.