Sure, the two of you have made this decision and have concluded that you care more about each other than the past.
The two of you are committed to giving this thing another go, and you’re excited, if not a little weary.
There are no right and wrong reasons to breaking up.
But sometimes my island refugees escape via social media raft and decide it’s time to tell Facebook all about their super awesome new relationships.
If he's unwilling to give it a try again without sex being involved, then he most likely just wants to suck you back into the relationship and has no real intention of changing. No matter how much your ex promises he'll never touch another drop of booze, or another woman, or will definitely get a job this time, don't listen to anything. Remember it's his actions in the relationship that will determine everything. Remember that if you're even remotely considering reuniting with an ex who has serious issues like addictions of any kind, or who inflicted physical or emotional abuse on you or your children -- you have outside help via therapy, support groups, etc.
Physical abuse, especially, can escalate to the point where you are taking your own life into your hands if you keep going back.
And abusers tend to be very good at making empty promises.
When I break up with someone I ship them off to an imaginary island where they roam free and make coconut snowmen and live very happy, very celibate lives far, far away from me.