In your words: Cyrus was represented as eagle, [comment moved by admin to the forum for further discussion].

Cyrus is compared to a bird of prey. He and his army were extremely swift. (See Hosea 8:1 for another general and army being compared to a bird.) Cyrus himself said he wanted to be known as a “winged” or “flying man.” The standard of Cyrus was an eagle. You can see him in ancient art depicted with wings. He is also said to have had an aquiline nose–that’s a nose that resembles the curved beak of an eagle.
Yes, in the ancient world, Cyrus was compared to a bird of prey.

About the ends of the earth, the farthest corners, notice Is. 41:8-9 says,
“But you, Israel, my servant,
Jacob, whom I have chosen,
you descendants of Abraham my friend,
I took you from the ends of the earth,
from its farthest corners I called you.
I said, ‘You are my servant’;
I have chosen you and have not rejected you.”

God is talking about the Israelites here–plural, not just one person. These two verses are not about the ‘bird of prey.’ The ‘but you’ tells you He’s changing who He’s talking about.