I believe it's Carlos Beltran from 2004 with 8, look for BJ Upton and/or Evan Longoria to break this in 2008 though.
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The most single season postseason home runs is 8, accomplished by Barry Bonds in 2002 and Nelson Cruz in 2011. Bonds hit 8 home runs in the 2002 postseason while playing for the San Francisco Giants, while Cruz hit 8 home runs in the 2011 postseason while playing for the Texas Rangers.
Barry Bonds hit the most postseason home runs in a single season with 8 in 2002.
Alex Rodriguez has a career batting average in the postseason of .302 has 13 postseason home runs and 35 post season RBIs. He hit 6 home runs in the 2009 World Series 2 short of the record for home runs in a single post season. That's not too bad.
Bernie Williams hit the most career postseason home runs as a Yankee with 22.
Angels
Major League Baseball (MLB) seasons have always started well after January 1, and ended well before December 31. Thus, the record for the most runs in a season would also be the record for the most runs in a calendar year. That record was made in the National League in 1894, when William Robert "Sliding Billy" Hamilton scored 198 runs. He holds many other unbroken records, as well.