We study the decay B(-)-> DK(*-) using a sample of 379x10(6) Upsilon(4S)-> BB events collected with the BABAR detector at the PEP-II B factory. We perform a Gronau-London-Wyler analysis where the D meson decays into either a CP-even (CP+) eigenstate (K(+)K(-), pi(+)pi(-)), CP-odd (CP-) eigenstate (K(S)(0)pi(0), K(S)(0)phi, K(S)(0)omega) or a non-CP state (K(-)pi(+)). We also analyze D meson decays into K(+)pi(-) from a Cabibbo-favored D(0) decay or doubly suppressed D(0) decay [Atwood-Dunietz-Soni (ADS) analysis]. We measure observables that are sensitive to the Cabibbo-Kobayashi-Maskawa angle gamma: the partial-rate charge asymmetries A(CP +/-), the ratios R(CP +/-) of the B-decay branching fractions in CP +/- and non-CP decay, the ratio R(ADS) of the charge-averaged branching fractions, and the charge asymmetry A(ADS) of the ADS decays: A(CP+)=0.09 +/- 0.13 +/- 0.06, A(CP-)=-0.23 +/- 0.21 +/- 0.07, R(CP+)=2.17 +/- 0.35 +/- 0.09, R(CP-)=1.03 +/- 0.27 +/- 0.13, R(ADS)=0.066 +/- 0.031 +/- 0.010, and A(ADS)=-0.34 +/- 0.43 +/- 0.16, where the first uncertainty is statistical and the second is systematic. Combining all the measurements and using a frequentist approach yields the magnitude of the ratio between the Cabibbo-suppressed and favored amplitudes, r(B)=0.31 with a one (two) sigma confidence level interval of [0.24, 0.38] ([0.17, 0.43]). The value r(B)=0 is excluded at the 3.3 sigma level. A similar analysis excludes values of gamma in the intervals [0, 7]degrees, [55, 111]degrees, and [175, 180]degrees ([85, 99]degrees) at the one (two) sigma confidence level.