Cayceemae - Hi and welcome to SR. Sorry you find yourself here but I'm glad you found us. This is an amazing place for support and it sounds like you really need that now. Please keep checking in.
Your list is a good start but I notice that it says nothing about drinking and you say he only has to "attempt these things". I'd like you to consider more specific boundaries and very specific consequences....then you have to be willing to absolutely stick to the consequences you set up or they are meaningless.
You might say something like:
1) I will not tolerate dishonesty of any kind. If I discover that you have been dishonest with me, i will ask you to leave our home.
2) You will attend counseling with an addiction specialist starting no later than next week (or whatever date you choose)(...and make him find the counselor, this is not your task). If you fail to make regular appointments I will ask you to leave our home.
3) I will have full access to all financial records, including passwords and account numbers. If I am not granted such access, I will ask you to leave our home.
4) You will help with housework, such as doing the dishes every night, giving Junior a bath and putting him to bed. If you are unwilling to help then I will ask you to leave our home.
Get yourself a copy of the book "Co-Dependent No More" and read it from cover to cover.
Bless you during this difficult time and for putting your children first.