I don't know where to find the hug emoticon but that's what I want to give you... Sounds like he was given a boundary, the lies caught up to him, he probably does very much want to see the kids but is overwhelmed with shame and guilt about you knowing the lies he told and that sent him drinking and then bc he was drinking, he was able to rationalize or simply put out of his mind, not showing up at the park....
I am so sorry for you and your kids and I feel like this post could easily be mine and who knows, in another week or two may be.
I'm sorry!