Is the initiation of the Tawaf of 'Umrah – into which Hajj cannot be incorporated – achieved merely by the intention to perform Tawaf for it, even if the Tawaf is performed without ritual purity? And is the Hajj of the Qarin or the Hajj of the Mutamatti valid if there is an intention to perform the preceding 'Umrah for which one entered into Ihram two years ago? What is the ruling on re-intending Ihram for the old 'Umrah?

"Al-Qiran" means to intend both Hajj and Umrah together when entering into ihram, or to combine Hajj with Umrah before starting its circumambulation (tawaf). It is permissible to combine Hajj with Umrah if it becomes clear that the first tawaf was invalid due to impurity, because an invalid tawaf is as if it never occurred. Vaginal discharge (rutubat al-farj) invalidates ablution (wudu') according to the majority of scholars, unless it is continuous. If it is not continuous and you were not certain of its emission before or during the tawaf, then your tawaf is valid according to the majority of scholars. Thus, your Umrah is valid, and there is no need for doubt. If you wish to act on the premise of the tawaf's invalidity, you have two options: completing the first Umrah with a tawaf, sa'i, and taqsir (shortening the hair), along with the obligation of paying fidyah for every prohibited act, then entering ihram for Hajj (knowing that you would be performing Hajj al-Ifrad unless you perform Umrah from Al-Tan'im if you desire to perform Hajj al-Tamattu', or enter ihram for both Hajj and Umrah together if you desire to perform Hajj al-Qiran), or combining Hajj with Umrah from the miqat, thereby becoming a Qarinah (one performing Hajj al-Qiran).