Using events in which one of two neutral B mesons from the decay of an Y(4S) resonance is fully reconstructed, we set limits on the difference between the decay rates of the two neutral B mass eigenstates and on CP, T, and CPT violation in B-0(B) over bar (0) mixing. The reconstructed decays, comprising both CP and flavor eigenstates, are obtained from 88 million Y(4S)-->B (B) over bar decays collected with the BABAR detector at the PEP-II asymmetric-energy B Factory at SLAC. We determine six independent parameters governing oscillations (Deltam,DeltaGamma/Gamma), CPT and CP violation (Re z,Im z), and CP and T violation (Im lambda(CP),q/p), where lambda(CP) characterizes B-0 and (B) over bar (0) decays to states of charmonium plus K-S(0) or K-L(0). The results are sgn(Re lambda(CP))DeltaGamma/Gamma=-0.008+/-0.037(stat.)+/-0.018(syst.)[-0.084,0.068], q/p=1.029+/-0.013(stat.)+/-0.011(syst.)[1.001,1.057], (Re lambda(CP)/lambda(CP))Re z=0.014+/-0.035(stat.)+/-0.034(syst.)[-0.072,0.101], Im z=0.038+/-0.029(stat.)+/-0.025(syst.)[-0.028,0.104]. The values inside square brackets indicate the 90% confidence-level intervals. The values of Im lambda(CP) and Deltam are consistent with previous analyses and are used as cross checks. These measurements are in agreement with standard model expectations.
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