Is it obligatory to make up the prayers if I doubted the emission of blood or excrement from the private parts, and I performed the prayers while in doubt, and should the make-up prayers be performed in order?

The phrasing of the question is confused, and the questioner should be wary of obsessive doubts (waswasa). If the questioner is certain that what afflicted them was feces, and they prayed with it, being aware and remembering, then their prayer is invalid, and they must repeat it and repent, for feces are impure, and no amount of them is excused. However, if they prayed with it forgetfully and remembered it after the prayer, then their prayer is valid, and they do not have to repeat it according to the majority of scholars. The Malikis held that it is commendable to repeat it within the time. If it was a small amount of blood, less than a dirham, then their prayer is valid, and they do not have to repeat it. If the impurity was minor and its purification was difficult, then they may follow the opinion of those who excuse small amounts of impurities unconditionally. If prayers must be repeated, they must be promptly repeated in order and immediately.