Is it permissible to make up missed prayers from three years ago before those from five years ago? Is this valid given the obligation to observe sequential order in making up missed prayers according to the Hanbali school of thought? And are white discharges resulting from fungal infections considered a barrier?

The Hanbali jurists differed regarding the obligation of sequential order (tartib) in making up missed prayers, and the relied-upon opinion among them is that it is obligatory. Accordingly, prayers must be made up in their proper sequence. So, prayers missed five years ago should be made up first, then those from three years ago. Their evidence for this is the hadith (definition): "Whoever sleeps through a prayer or forgets it, let him pray it when he remembers it," and the hadith about the Asr and Maghrib prayers during the Battle of Al-Ahzab, and the saying of the Prophet (peace be upon him): "Pray as you have seen me pray." However, the sequential order is waived in their view if there is fear of the prayer's time expiring or if one forgets the sequence. As for what the body excretes, it does not invalidate the purity (taharah (definition)).