Does divorce occur by saying "she is divorced" and "your sister is divorced" with the intention of fulfilling a request from a relative, coupled with extreme anger and loss of self-control, and without the intention of divorce, and what are the rulings that result from that?

Most scholars are of the opinion that anger which does not completely remove one's sanity does not prevent the occurrence of divorce. If you uttered the divorce while being aware of what you were saying, then your divorce is valid, no matter how intense your anger was. An explicit pronouncement of divorce makes it effective without the need for intention. Since you have not consummated the marriage with your wife, your divorce is an irrevocable (bain) divorce, and you cannot take her back except with a new contract and a new Mahr, because a non-consummated marriage becomes irrevocably divorced with a single pronouncement and has no waiting period ('iddah). However, if the anger reached a point where it deprived you of your sanity and you did not know what you were saying, then your divorce is not effective. It is advised to present the matter to trustworthy scholars in your country.