God, Lala, he plays you like a violin and you fall for it every time. Why are you pandering to him, writing out your emotions for him to read, laugh at and dismiss? Being so open with him only gives him more ways to screw you up. He already knows exactly how you feel - what he's doing now is persuading you that you don't really feel like that, you don't really want to split, you don't really want him to move out, you don't want to continue counselling, you don't want to complain about him ignoring his wife and children... He wants you so beaten down that you think "actually, I don't mind being an emotional doormat and slave to the housework because it's better than being a single mother."
You know you need (need, as well as want) him out of the family home so you can concentrate on building up your strength, your self-esteem, your self-worth and your happiness as well as caring for your children and letting them play, letting them run about and make a noise and make a mess without stressing whether "D"H will shout and scream and throw a tantrum because he's abusive and hungover again.
Again, I'll say it. He's an abusive, misogynistic alcoholic. He has no love or respect for you as a woman, and even less for his children. His only pleasure in life is drinking - he told you that from his own mouth! Not you, not your children, but drinking and forgetting about everything he should be cherishing.
He is a pathetic, abusive waste of skin, Lala, but he plays you every single time you show an ounce of strength, and before you know it you're giving him another "one last chance". I can tell you exactly how this'll go - he'll read your letter/email and make all the right noises, cry, tell you he knows how terribly he's behaved, how he thinks you'd be better off without him but he loves you, he needs you, he can't go on without you. He'll go to counselling, maybe even an AA meeting or two, he'll be a "great" Dad at the weekend (and by great I mean he'll do the bare minimum that most normal Dad's do day in, day out) and you'll think wistfully that this time, maybe this time he's really changed... Only he hasn't, because it'll be back to "a couple of beers" on a Friday, then out to the pub all Saturday, topped off with a bottle of wine to himself when he gets home. Then it's back to the hangovers, the anger, the shouting, the throwing things at his children and making them bleed, the scaring your DD, back to making you feel worthless.
You have all the power, Lala. You can make it all stop. You just have to stick to your guns and stop letting him in time after time. If he ever, ever, ever wanted to change, he'd have done it a year ago. Please don't waste another year on him.