to be completely honest i think you should just break up with him, cut to the chase he is a rubbish husband
You should believe your husband. No man would tell something that could destroy his relationship unless it was true.
Many are, but a good marriage should be an equal partnership.
If you are a bigamist and your first, and legal, husband died then you should arrange to marry your present "husband". Until you do you are not legally married since your "marriage" to him was invalid due to your own marital status.
Trust is earned and your husband broke that bond of trust so he is going to have to earn it back. Both of you should seek marriage counseling to get to the root of why your husband thought he should cheat and the counselor can give tools for the couple to work with and strengthen their marriage. A marriage counselor is not there to blame either party, but to get you both to see the weak spots in your marriage and work on them. No, you will probably not trust your husband for cheating for awhile because trust is earned.
She would have to talk to him about their marriage and whether or not they should stay married.
He doesn't want to lose her. They should seek marriage counselling.
No, a Marriage is for One to One but if the husband is in another relationship you are 50% of his a Love remember that. Also if i does have another Relationship but not Marriage it should be Legal
No, it is a waste of energy for you to hunt down the woman that had an affair with your husband. You are going after the wrong person! Your husband is an adult and he was at fault and he could have formed the word 'no' to any affair, yet he persisted and it is your husband that you should be communicating too and perhaps marriage counselling to help you with tools to better your marriage if you want to save it.
You should talk to him politely and tell him. You can tell your whereabouts about which he has been unsure.
Yes. No good can come from lying. He has the right to know. Any negative consequence that comes after you tell him is the result of your infidelity, not of your having confessed it.
You should notify the new "wife" that your husband is already married. His second marriage is not valid until you and he obtain a divorce.
You must have had a reason why you left your husband. If those problems are not solved, you will face the same problems when you go back. The other thing is: how will your husband treat you when you come back? I would recommend you a marriage counseling before you move back to your husband.