Answers revealed in the comments.
GAME 1
Name either of the U.S. presidents who were in office during the two main conflicts known as the Barbary Wars.
GAME 2
Of the MLB teams that currently play in the American League East division, two moved to their current location from another metro area. Name those two AL East teams that have moved.
hebspeaks 
game one answers:
Thomas Jefferson
James Madison
GAME 2 answers:
Baltimore Orioles
New York Yankees