An analysis of B-0 --> DK*(0) decays is presented, where D represents an admixture of D-0 and (D) over bar (0) mesons reconstructed in four separate final states: K-pi(+), pi K--(+), K+K- and pi(+)pi(-). The data sample corresponds to 3.0 fb(-1) of proton-proton collision, collected by the LHCb experiment. Measurements of several observables are performed, including CP asymmetries. The most precise determination is presented of r(B)(DK*(0)), the magnitude of the ratio of the amplitudes of the decay B-0 --> DK+pi(-) with a b --> u or a b --> c transition, in a K pi mass region of +/- 50 MeV/c(2) around the K*(892) mass and for an absolute value of the cosine of the K*(0) helicity angle larger than 0.4.