If the Earth has ends does that mean it has to be flat? No, because "end" is a translation of a word which means "extremity or furthest reaches of" in which case we're talking about the beach.
The Ends of the Earth
Pangaean Mediterranean
We have very little scriptural account of what happened in the period between Noah's flood and Peleg, besides Babel. What we do have, however, indicates that Pangaea had a precursor of the Mediterranean Sea.
The Sons of Noah
The time between Noah's flood and Peleg's tectonics was when the dispersal from Babel took place. From Babel small family groups spread out, figuratively speaking, to the ends of the Earth.
The Four Corners of the Earth
The phrase "the four corners of the earth" occurs a few times in scripture but every time it's in the context of the millennial kingdom, it's never used in any other context.
September 2nd
Pangaea was a contiguous landmass after Noah's flood, but it appears to have had a centrally located ocean which became the Mediterranean sea. The coasts of this sea became the cradle of civilization.