Is the annulment of the marriage certificate and its signing, with the husband's refusal to divorce his wife, considered a divorce?

No divorce has occurred as long as you have not pronounced it or written it with the intention of effecting it. The subsequent announcement has no effect, and there is no blame upon you for taking your wife back. If she is still within her 'iddah (waiting period), it is permissible to take her back without a new contract, because she is considered as a wife. If her 'iddah has expired, she has become irrevocably separated from you with a minor irrevocable divorce, so a new contract is necessary. The fact that the wife's family are bad people does not prevent marrying her if she is righteous, and she is not obligated to inform you about her family's situation. Documenting the marriage contract is important for preserving rights and preventing disputes.