BOSTON—B.J. Upton, Evan Longoria and the rest of the Tampa Bay Rays are bashing their way through their first trip to the playoffs.

Upton and Longoria homered off a suddenly shaky Jon Lester, and the power-packed Rays cleared the Green Monster four times to beat the Boston Red Sox 9-1 Monday for a 2-1 lead in the AL championship series.

Rocco Baldelli and Carlos Pena also sent shots over Fenway Park’s famous left-field wall as Tampa Bay tied the ALCS home run record. Behind Matt Garza’s pitching, the Rays put the defending World Series champions in a postseason hole for...

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