Do the prayers that were performed out of ignorance and obsessive doubts, which led to strange actions such as verbalizing the intention or repeatedly performing the prostration of forgetfulness, have to be made up, given that their number or timing is not remembered in relation to the period of apostasy?

"Waswasah" (whispering from Satan) is a disease that must be shunned. You are not required to repeat any of the aforementioned prayers. Uttering the intention does not invalidate the prayer, nor does uttering that you will perform the prostration of forgetfulness, nor does repeating the prostration of forgetfulness out of ignorance. All of that does not invalidate the prayer.