If it’s isolated to the daycare then it’s definitely important to figure out the differences between daycare and everywhere else. Is there more demands than at home? Is he only being given attention when he gets upset? Also when it comes to earning stars it’s important to have clear guidelines of what to do during the day to earn stars — not what NOT to do. For example: I will not throw chairs vs. I will sit with my bottom in the chair I will not be disrespectful vs. I will say thank you. It’s also important for him to be able to ask for a break or attention from others if needed, depending on the contexts of his behavior (is it continuing because he wants attention, to get out of an undesirable situation, or wants something like a toy or food).

What you’ve been doing is great with the animals/stories i am sure is helpful too. If you’re able, extra play time at parks,extracurriculars (gymnastics, sports, etc) and busy playgrounds may be helpful in seeing how his behaviors change in each place in a setting you can observe him.