Is the money the husband sent to his divorced wife, after she renounced it and they divorced, considered her right, or not?

As long as the husband divorced on the condition that the wife relinquish her deferred dowry, then her right to it has fallen. As for the money he sent to her father, its ruling depends on his intention: was it a gift to her or for another purpose? Nothing of his wealth is permissible for her except with his full consent.