It is more likely that the healthy relation is triggering the old feelings that he had when he was abused. The healthy relation is not causing the problem rather it is rekindling thoughts about the numerous abuses that he went through. Being able to talk to you about the abuse will help him work it through. I would recommend that he undergo therapy as the sooner a positive intervention is made the better. These things (sounds like PTSD) have a tendency if not worked on of getting worse, getting more pervasive and going from the unconscious as dreams to the conscious as in flashbacks. The prognosis, if it is addressed is fair so again i suggest that he see a therapist that specializes in working with abuse victims.
It seems clear that your husband has a long standing trait that may be indicative of an antisocial personality disorder. For your own benefit you should realize that he is not going to change irrespective of what you do. You should always protect yourself from the probable lies and dishonesty. Again no amount of counseling is going to change him I am sad to say.. Good luck and best wishes.
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I apologize for the software mistake that combined the first answer which was the response to your post and the second paragraph which was inadvertently combined. Again apologize for any confusion and thank you for understanding computer glitches. Best wishes and good luck and I do urge treatment to prevents deteriorated situation.