We present measurements of secondary cosmic microwave background ( CMB ) anisotropies and cosmic infrared background ( CIB ) fluctuations using data from the South Pole Telescope ( SPT ) covering the complete 2540 deg ^ { 2 } SPT-SZ survey area . Data in the three SPT-SZ frequency bands centered at 95 , 150 , and 220 GHz , are used to produce six angular power spectra ( three single-frequency auto-spectra and three cross-spectra ) covering the multipole range 2000 < \ell < 11000 ( angular scales 5 ^ { \prime } \gtrsim \theta \gtrsim 1 ^ { \prime } ) . These are the most precise measurements of the angular power spectra at \ell > 2500 at these frequencies . The main contributors to the power spectra at these angular scales and frequencies are the primary CMB , CIB , thermal and kinematic Sunyaev-Zel ’ dovich effects ( tSZ and kSZ ) , and radio galaxies . We include a constraint on the tSZ power from a measurement of the tSZ bispectrum from 800 deg ^ { 2 } of the SPT-SZ survey . We measure the tSZ power at 143 GHz to be D ^ { tSZ } _ { 3000 } = 4.08 ^ { +0.58 } _ { -0.67 } \mu { K } ^ { 2 } { } and the kSZ power to be D ^ { kSZ } _ { 3000 } = 2.9 \pm 1.3 \mu { K } ^ { 2 } { } . The data prefer positive kSZ power at 98.1 % CL . We measure a correlation coefficient of \xi = 0.113 ^ { +0.057 } _ { -0.054 } between sources of tSZ and CIB power , with \xi < 0 disfavored at a confidence level of 99.0 % . The constraint on kSZ power can be interpreted as an upper limit on the duration of reionization . When the post-reionization homogeneous kSZ signal is accounted for , we find an upper limit on the duration \Delta z < 5.4 at 95 % CL .