I brought my daughters to that doubleheader - the last games we've been to as a family (sometimes it sucks to be an ex-pat). I was trying to use the games as a springboard to getting into the pennant race (again not the easiest thing when almost all the games start after midnight) and remember everything going south after the DH sweep. Yes, they won some individual games after that but Oakland was the last series they won that year. After that they lost 2-1 to NY, 2-1 to Tex, 3-1 @Tor, 3-0 @TB, split 1-1 to Tor, lost 3-1 to TB, 3-1 to Bal, 2-1 @NY and 2-1 @Bal. Pretty depressing sheet.
On a more cheery note the Sox have a chance to sweep all 4 division opponents since the current AL East was configured in 1998. They clinched the season series against the O's and Yanks, need one win in TB to clinch it vs the Rays and need to win the 3-game series at Fenway to clinch vs the Jays. Only Baltimore in 2014 and the MFY in '01,'02,'03 and '06 have clinched the 'grand slam' as we call it in British sports (e.g. in the 6-Nations Tournament in Rugby Union when one country of Wales, England, Scotland, Ireland, France or Italy beats each of the other 5).