He has absolutely no right to tell you what your name will be after the divorce. I would say that the majority of women do not change their names back because they want to have the same last name as their children.
No he cannot. He is bullying you. Do not listen to him.
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No there are no provisions in the law that permit a Husband to require a former wife to stop using his name. In fact it is quite customary for a former wife, when there are children, to retain her marrried name so her last name is the same as the last name of the children. It sounds like he is just trying to intimitate you. You should have have a strong and experienced family lawyer to help you through this process.
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