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?

Making dua to be friends with a non mahram

Q: I've been asking Allah to make me friends with a non mahram. Its been a lot of time now I see no signs of my dua getting accepted. I am really confused if this is prohibited thats why its not getting accepted or somewhere I found we can be friends with a non mahram with boundaries so if its permissible then why is Allah not accepting it. I've looked up everywhere and I still remain in an utter state of confusion. I cry for this dua every prayer, every rain, every azaan yet its not being accepted. I really don't know if I should wait or give up. If this is right or wrong. Please help me.