How can one make up for approximately nine missed prayers due to obsessive doubts (waswas), knowing that today's Fajr and Dhuhr prayers have already been performed, and is it necessary to re-perform the prayers that were already offered after making up the missed ones, in consideration of the proper order?

The treatment for obsessive doubts is to completely disregard them, seek help from Allah Almighty, frequently recite the Quran, and persistently engage in the remembrance of Allah Almighty. Whoever missed prayers must make them up in order. He is not required to repeat the two prayer times he already performed.