Outstanding gang, but nobody really got #2 just right, although all of you were "in the ballpark" so to speak. Dill was closes
1. Yes the sun, as most games, especially in the old days were played in the later afternoon.
2. It is an old baseball myth abouth New York World sponsorship. The postseason series between the two US league champs -- the AL and NL -- was originally known as the "Championship of the World" or "World's Championship Series." That was shortened through usage to "World's Series" and finally to "World Series."
This usage can be traced through the annual baseball guides. Spalding's Base Ball Guide for 1887 reported the results of the 1886 postseason series between Chicago, champions of the National League, and St. Louis, champions of the American Association, under the heading "The World's Championship."
As the editor noted, the two leagues "both entitle their championship contests each season as those for the base ball championship of the United States," so a more grandiose name was required to describe the postseason showdown between the two "champions of the United States."
But the Spalding Guide -- which, after all, was published by one of the world's largest sporting goods companies, with a vested interest in bringing baseball to other lands -- had grander ambitions. By 1890, the Spalding Guide was explaining that "[t]he base ball championship of the United States necessarily includes that of the entire world, though the time will come when Australia will step in as a rival, and after that country will come Great Britain; but all that is for the future."
This didn't happen, but the name "World's Championship Series" stuck --- so it wasn't really US arrogance, after all in 1903 the USA was just a bit player on the world stage -- it was more an aspiration/hope/goal to get the whole world involved. Alas, outside of Latin America and N. America, only a few East Asian countries are into it.
3.. Yes. A left-handed pitcher's delivery motion will be to the south.