I can't get "Investigate the beach" to progress because I did things out of order I think.
I found the kids hideout first, then I failed the speech check and Mol went to the guards... except the guards never did anything. Now Mol is just standing by the training area and only says "you did this to yourself".
Then I met the scammer kids and stole their ring for lols, but I apologised and gave it back.
Then I met the kid on the beach (Mirkon?) and saved him. Now I just have a marker pointing to Mol and she won't talk to me and the guards aren't arresting me.
I wanted to do the idol stealing thing but I guess I can't now. Unless there's something I can do to fix Mol's brain damage.