One who pauses circumambulation due to an excuse resumes from where he paused

Question: I performed the obligatory Hajj in one of the years, and my mother and two sisters were with me. My mother and one of my sisters were ill, and it was an Ifrad Hajj. I stoned the pillars on behalf of all three of them because of the illness of the two and the difficulty of the third stoning amidst the crowd. We stoned the Jamrat al-Aqabah around 3:00 AM on the Day of Sacrifice, as we left Muzdalifah around 12:30 AM after midnight, in accordance with the dispensation. We delayed the Tawaf al-Ifadah to perform it together with the farewell Tawaf as a single Tawaf with the intention of two Tawafs. One of the women with me fainted during the farewell Tawaf, so we were forced to stop for about half an hour while I went to look for a cart to complete the Tawaf for the sick woman. When I could not find one, I returned and we completed the Tawaf from where we had stopped, which was after one and a half circuits, so we completed five and a half circuits.
The question is about the validity of the method of stoning the pillars and delegating it, and about completing the Tawaf instead of starting it anew, and whether our Hajj is valid or if we owe anything?

Answer: Your Hajj is valid, and completing the Tawaf from where you stopped is valid according to the correct opinion of the scholars. As for any of the women who did not stone the Jamrat al-Aqabah while she was healthy, she must sacrifice a sacrificial animal in Mecca for the poor to compensate for her Hajj. I ask Allah to forgive us and you and every Muslim, and to accept from everyone.