1. MC's name can't be changed. It is default Rick. Thats it. (If anybody can make name mod, good.)
2. Yes, This game have MC's wife as a secondary protagonist. And yes she plays a major role in this game, along with choices dedicated to her, especially in this update chapter 6.
3. Yes, there's gonna be NTR options for wife all along the game. Upto past update, there is one ntr scene, present update i don't know, but upto the end of the game in future, she goona have ntr options. We can't stop those options occuring. But we can aviod ntr by making right choices, as we are also picking choices for wife to cheat on MC.
4. And Yeah, in future there will be open relationship option. But, yeah no harem. Technically you can stop the wife from sleeping with men, by picking right options, but she always gonna have lust feelings over other men. Those are unavoidable. So, yeah, not a harem game too. Even if we exclude wife in harem, some other girls are not okay with sharing MC with other girls. They are jealous and wants to keep him for themselves.
So, yeah, after all these, you want to play this game, go ahead. It does have a nice mafia story, hot girls, hot Milf.