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We study the decay ${B}^{\ensuremath{-}}\ensuremath{\rightarrow}D{K}^{*\ensuremath{-}}$ using a sample of $379\ifmmode\times\else\texttimes\fi{}{10}^{6}$ $\ensuremath{\Upsilon}(4S)\ensuremath{\rightarrow}B\overline{B}$ 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 (${K}^{+}{K}^{\ensuremath{-}}$, ${\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$), $CP$-odd ($CP\ensuremath{-}$) eigenstate (${K}_{S}^{0}{\ensuremath{\pi}}^{0}$, ${K}_{S}^{0}\ensuremath{\phi}$, ${K}_{S}^{0}\ensuremath{\omega}$) or a non-$CP$ state (${K}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}$). We also analyze $D$ meson decays into ${K}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ from a Cabibbo-favored ${\overline{D}}^{0}$ decay or doubly suppressed ${D}^{0}$ decay [Atwood-Dunietz-Soni (ADS) analysis]. We measure observables that are sensitive to the Cabibbo-Kobayashi-Maskawa angle $\ensuremath{\gamma}$: the partial-rate charge asymmetries ${\mathcal{A}}_{CP\ifmmode\pm\else\textpm\fi{}}$, the ratios ${\mathcal{R}}_{CP\ifmmode\pm\else\textpm\fi{}}$ of the $B$-decay branching fractions in $CP\ifmmode\pm\else\textpm\fi{}$ and non-$CP$ decay, the ratio ${\mathcal{R}}_{\mathrm{ADS}}$ of the charge-averaged branching fractions, and the charge asymmetry ${\mathcal{A}}_{\mathrm{ADS}}$ of the ADS decays: ${\mathcal{A}}_{CP+}=0.09\ifmmode\pm\else\textpm\fi{}0.13\ifmmode\pm\else\textpm\fi{}0.06$, ${\mathcal{A}}_{CP\ensuremath{-}}=\ensuremath{-}0.23\ifmmode\pm\else\textpm\fi{}0.21\ifmmode\pm\else\textpm\fi{}0.07$, ${\mathcal{R}}_{CP+}=2.17\ifmmode\pm\else\textpm\fi{}0.35\ifmmode\pm\else\textpm\fi{}0.09$, ${\mathcal{R}}_{CP\ensuremath{-}}=1.03\ifmmode\pm\else\textpm\fi{}0.27\ifmmode\pm\else\textpm\fi{}0.13$, ${\mathcal{R}}_{\mathrm{ADS}}=0.066\ifmmode\pm\else\textpm\fi{}0.031\ifmmode\pm\else\textpm\fi{}0.010$, and ${\mathcal{A}}_{\mathrm{ADS}}=\ensuremath{-}0.34\ifmmode\pm\else\textpm\fi{}0.43\ifmmode\pm\else\textpm\fi{}0.16$, 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 $\ensuremath{\gamma}$ in the intervals [0, 7]\ifmmode^\circ\else\textdegree\fi{}, [55, 111]\ifmmode^\circ\else\textdegree\fi{}, and [175, 180]\ifmmode^\circ\else\textdegree\fi{} ([85, 99]\ifmmode^\circ\else\textdegree\fi{}) at the one (two) sigma confidence level.

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