Is this a possibility?

People erected Stonehenge. Humans didn't suddenly know how to farm crops; agriculture developed over many generations. Lincoln had a beard; Kennedy didn't. and I hate to break it to you, but Booth was born in 1838. I don't have time to run down all the facts in your long list, but take this as a given: coincidences happen, and no one traveled through time to set them up. Oh, and Mayans learned math the same way everyone does--they figured it out.