I gave talak ,she is in my home for iddat .and she is refusing to back her home [father,s]after iddat and announcing that she could suicide if pressurised to go back. I'm living in rentle after talak the home where we live is of my father . Give your opinion about this condition.

Talk to your imam for advice. I am not Muslim but I am a woman. Presumably you demanded a wife who was a virgin and now she is not, and now she will suffer terrible shame if divorced by you and would rather die. Her parents may not even want her back. Show some responsibility and a tiny bit of human compassion. Maybe give her the rental and pay for it for a year, and help her find a job, so she doesn't end up on the streets or dead!

I have to ask where are you at, is there other marriage laws that control marriage

You should tell her immediately that killing herself will end her up in the Naar according to The Messenger of Allaah -sAaws- killing herself in there forever again and again. So whatever she is feeling, then it`s not worse than that, and she has no right to threaten a life created by Allaah -even herself. The life is a gift and a responsibuility, and not a thing to own and play with how you like. Divorce is in your hand, so don`t be forced. A woman that uses such methods to control the husband even after divorce is not good for him, so it`s better you leave her. But as a muslimah she is your sister, and you should seek to help her. Psychologically when someone is so depressed that they consider suicide, it`s always an emergency, and you should consider admitting her to a mental institution if it`s bad. It`s just a hospital. Tell her Allaah is with her, and Allaah is with you, so even when you`re divorced, you have are a brother and a sister in the sight of Allaah, and you are not enemies or anything. And one Day you will meet Him, and then you will not care what you left behind, except you will rejoice that He forgave you, in sha Allaah. Salaam.