Usually, a review petition is entertained on very limited grounds, such as error on the face of the records. Usually, review petition would not be entertained or heard on merits. However, you can challenge the decision in the higher court (in this case, in the Supreme Court).
When you challenge the promotion granted to someone else (by getting it declared as void), usually it is expected that you would make him a party. Such other party has an equal right to be heard when an adverse action (such as, of declaring his promotion as void) is to be taken against him. Therefore, it is generally expected that you would make such other person a party in the petition filed by you.
If the review petition was rejected by the high court, you have the option of challenging it in Supreme Court.
It is not possible to reply to the last part of your question in the absence of knowledge of detailed facts of your case, which in any case is beyond the scope of this public forum (please see our forum guidelines).
Dr. Ashok Dhamija is a New Delhi based Supreme Court Advocate and author of law books. Read more about him by clicking here. List of his Forum Replies. List of his other articles. List of his Quora Answers. List of his YouTube Videos.