If my husband has hepatitis b core antigen & I drink from koolaid jug after him, could I catch it?

Forgive my frankness. Hopefully you've been immunized against hepatitis b, and were immunized before you got married. That'll protect you. Even more, i would hope that you and your husband are doing all kinds of wonderful things together that involve far more intimate exchanges than drinking kool aid. If not, why not? It's well worth the risk. Best wishes to you both.