Ask this question to the attorney representing you in your divorce. If you don't have an attorney, get one right away. Way too much is going on here to try to answer this question in a forum like this.
Your problem will require that an attorney review all of the documents and the factual background. Because the situation is a "mess", the attorney will charge for his/her time. The attorney is entitled to be paid to do this. After all, the attorney did not receive any of the marital benefits that you received in the relationship.
As to liability to third party creditors, it is not what your husband says, it is what the creditors will contend.
You need to read http://www.leginfo.ca.gov/cgi-bin/displaycode?section=fam&group=00001-01000&file=910-916
During disclosures and financial discovery those issues can be settled or be of an adjudication
You need an attorney that understands financial issues and accounting procedures
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