Is the husband considered sinful for withholding financial support from his wife who prevents him from seeing their children, and is their marriage religiously valid after the waiting period expires and without a new contract?

The new marriage is valid as long as it has met its conditions and pillars, and it is not invalidated by the fact that the sum of one hundred thousand is not written in the marriage contract. However, the wife has the right to request a document for her mahr (dower), and it is permissible to cut off maintenance for a rebellious wife if she is not pregnant. As for the maintenance of the children, it is obligatory and is not waived by their mother's rebelliousness.