  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 sq.deg. 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' > \theta > 1'). 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 sq.deg. of the SPT-SZ
survey. We measure the tSZ power at 143 GHz to be DtSZ = 4.08 +0.58 -0.67 \mu
K^2 and the kSZ power to be DkSZ = 2.9 +- 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.
