Those situations where Talaaq does not take place

Q: Mistakenly calling one's wife (bhabi "elder brother's wife") breaks nikah or not?

Q: I got married last year and it was a love marriage. I moved abroad and my wife is still back in my homeland. We fight alot. Before and even after marriage, we beat each other, obviously I am the husband so I beat her harder.

Now, every time we fight, it ends with her asking for talaq, or I tell her to leave me, or I tell her everything ends etc. But recently in messages, we fought again, and as usual she asked me for talaq and this time I said to her that we are separated for 40 days. Then I blocked her from every social media that we keep contact on. I haven't called her or said any words of talaq. 

Q: In the state of anger and while fighting with my wife, I said "go to your father's house and dont show me your face ever". Though we were arguing and in the state of threat that Ill leave her etc etc, But didnt say divorce or anything. I had no intention to leave her. Let me know if it affects my nikkah? 

Q: I have a few questions regarding whether talaq takes place in these circumstances.

1. If a person says 'Recharge' or 'Macho' aloud with the intention of divorce, does this count.

2. I was uttering 'Salamu-alaykum' repeatedly with no intention. On the last time, when I reached 'alaykum' the thought and intention to divorce came to me. Does this take place?

Q: If I say to my wife just to threaten her that I have signed the divorce document and you will get them but i was lying. I haven't signed any documents. I was just trying to hurt her and threaten her. Will divorce fall? I have a clear intention that by saying this I didn't mean any divorce.

Q: My wife said I have no relation with you from now on I'm finishing this married relationship...what is the hukam now?

Q: Recently I had a fight with my wife. And in the fight, my wife said angrily that she wants this relationship to end. I unintentionally nodded my head without realising what she had said. I then immediately realised that I have given her assent for something wrong. I am confused whether first talaq has happened or not. 

Q: If someone say you are free to stay here or leave me and its your choice. Would that be divorce?

Q: If a man do not pray in weeks or even in months, does his nikah to his wife break and does he have to do nikah again with his wife?

Q: Me and my husband had an argument and he said to me that you will get divorce from me, I will divorce you. I said that you just divorced me and he said that next time I will say it three times in one breath. Last week he said to me that I will divorce you. Is this divorce valid or not because after that he calmed down and he said that I haven't divorced you. What should I do?