I am sorry for the situation you find yourself in. All of us LBS (left behind spouse) have experienced that bewildering amazement of WTF are you doing spouse, burning down our marriage. The ILYBDLY speech is a pretty common denominator. Your H is very confused, you have seen it, you know what I am talking about. He is acting like a different person, and in more ways than you may imagine, he is.
Thankfully you have found this place. You will meet many kind and compassionate people, with much knowledge and hard earned wisdom. Listen to them, a lot of stuff will be counterintuitive to you. Post as much as you like, ask questions, vent, whatever helps - we are here, we know what you are going through, we care, you are among friends.
There is much to learn, for now read the homework, wonder around and meet the neighbours, read their threads. A big part of the power of this place is realizing you are not alone, many others have travelled a similar path.
Please feel free to fill in more of your story and background (kids, etc...) as you settle in. Don稚 worry you have time.
I agree with your view on no sex given his mixed signals and confusion of what and where he is headed. For now, focus on just you and your kids, and just breathe. Get through the days, step by step, it will get better and easier - I promise!
DnJ
Feelings are fleeting. Be better, not bitter. Love the person, forgive the sin.