They all seemed to be having fun ... the kiddos were running around near the water and JAW had a smile on his face watching them play. A pretty sweet moment -- one that came not long after rules were set in place so he could continue to see them.
It said he would test up to 5 times a week when he has the little ones in his care -- and if any booze is found, that custody goes out the window. Docs said Jeremy and Addison also agreed to share joint physical custody over their kids.
His custodial time comes with some caveats, though ... apart from the testing, he also has to attend AA once a week as well as other therapy sessions.
TMZ broke the story, Addison filed for divorce in May after getting married 3 years before. They've been appearing to be friendly while at their kids' soccer practice in August, and their divorce still has yet to be finalized.