[Raynor]

Therefore, Fall of Man happened before chaining of Melko.

I disagree:

Originally Posted by Of the Sun and Moon and the hiding of Valinor, Silmarillion

These things the Valar did [the making of the sun and moon, after the escape of Melkor], recalling in their twilight the darkness of the lands of Arda; and they resolved now to illumine Middle-earth and with light to hinder the deeds of Melkor. For they remembered the Avari that remained by the waters of their awakening, and they did not utterly forsake the Noldor in exile; and Manwe knew also that the hour of the coming of Men was drawn nigh
...
for the Sun was set as a sign for the awakening of Men and the waning of the Elves, but the Moon cherishes their memory.

Originally Posted by Of Men, Silmarillion

At the first rising of the Sun the Younger Children of Iluvatar awoke in the land of Hildorien