Is a divorced woman with kids damaged goods?

Sorry, but I would not date a woman with kids and even one ex-husband, let alone two. You have too many red flags for me. The single women in the US outnumber the single men, so it's even more competitive among women who are vying for the same type of guy. You might find some man to accept you, your kids and be willing to deal with your ex-husbands, but you will have a much harder time than other women will have. All the more reason to pay attention to red flags before getting married, so you don't end up in situations like yours. God bless you, and maybe you can meet someone.