Must I repeat the prayers I performed with an ablution I doubted, then proceeded to affirm its validity? And should I wash that which I doubted, knowing that I have forgotten the prayers, and that doubt is continuous with me in prayer and in ritual impurity, but I doubt whether the doubt of ritual impurity was continuous with me on that day?

As long as you are afflicted with waswasah (whispers of Satan) and excessive doubts, build upon the more certain and pay no attention to these waswasah. You do not need to repeat any of the prayers you performed with the aforementioned ablution, because you did what was required of you by dismissing the doubt and turning away from it. In whatever area waswasah afflicts you, you must strive against it, repel it from yourself, and give it no attention whatsoever.