Is a man who proposed to a girl entitled to demand from her guardian—her father—the price of the two engagement rings after the engagement was called off, given the girl's claim that she sold them to him and refused to return them?

As long as you paid for the two rings as part of the mahr (dowry), and you did not conclude the marriage contract with the woman, you have the right to demand the return of the two rings, or their value if she has sold them. The jewelry (shabka) given to the fiancée, if it was agreed upon as part of the mahr or if custom dictates it as such, takes the ruling of the mahr. Therefore, it should be returned in kind if it is still existing, or its equivalent, or its value if it has been consumed.