Hajj & Umrah

Couple having relations before tawaaf-e-ziyaarah

Q: There is a couple that recently came from hajj. They did all things correct but they have 1 doubt. 

After coming from Muzdalifah, doing 1st rami, and cutting of hairs/halaq, they opened their ihram and after that they thought they are open from ihram and out of ignorance and oversight they did sexual relations just before tawaf e ziarat. 

Tawaf e ziarat was done after gusal and proper clean cloths? Would they be required to give damm? If yes, will it be for both or just 1?

Haaji pelting on the 12th morning before zawaal

Q: This year while performing hajj, the Saudi Government directed the pilgrims to start performing the 12th dhul hijja rami after Fajr due to excessive heat and overcrowding to avoid any untoward situation. So, we performed the rami before zawal on 12th dhul hijja. 

Is my hajj acceptable or do I need to perform anything to compensate for performing rami before zawal? Are there any rulings or views of scholars on performing rami before zawal?

What should be done with the excess money that remains after performing Hajj-e-Badl?

Q: In the case where the deceased did not perform his fardh hajj, and before passing away, he appointed someone to perform his fardh hajj (Hajj-e-Badl) from one third of his wealth, then after performing the Hajj-e-Badl, if any money remains from the one third of the estate, what should be done with the remainder money?

Will Hajj-e-Badl be compulsory if one delayed in performing Hajj and then passed away during the journey of Hajj?

Q: Explain the ruling of a person who delayed in performing hajj after it became fardh upon him and only set out for hajj after one or a few years, and then passed away during the journey of hajj. Does Hajj-e-Badl have to be performed on his behalf?