There is no good archaeological or historical evidence of any Pre-columbian contact between Native Americans and anyone in Africa, Europe, or Asia. Also, the linguistic evidence presented here is invalid - namely because the language you're making the connection to the old world with - Classical Nahuatl (the particular variant of Nahuatl spoken in the Late Postclassic Valley of Mexico), did not exist in Mesoamerica in the BCE time period. The earliest city that has been proposed to have spoken an archaic form of proto-nahuatl is the Central Mexican city of Teotihuacan (~100BCE-650AD), but the language spoken at Teotihuacan would be mostly unrecognizable to anyone speaking Classical or Modern Nahuatl, if Teotihuacan even spoke a Nahuatl language, which is still, like I said, very much up for debate.

As for the thing about beards, Native Americans could certainly grow beards. Here's a few previous threads on that:

/u/400-Rabbits: https://www.reddit.com/r/AskHistorians/comments/18wdf0/native_americans_generally_didnt_have_beards_do/c8irmub/

/u/Reedstilt: https://www.reddit.com/r/AskHistorians/comments/1tb8qq/why_are_native_americans_often_depicteddescribed/ce6824u/