Milena,
Other considerations (e.g., causal inference) aside, the full model is appropriate if the interaction effect 'BC' is substantial. Among the three individual models, the last one "-model 'Age+DaysDrk+Task*Sex*Time*BC'" is problematic because the main effects of binge drinking and craving are not properly accounted for. The other two models assume the absence of the effect for one of the two variables.
Gang