Thank you for reporting this. We will try to recreate it and ask you for more information, if required.
Do the chests incidents count towards Quests with Incident requirements?
Simply put, they do not. The reason for this is due to balancing. With a whole new host of incidents available, we believed counting them towards quests would make these quest conditions too easy. However, this is also something we are continuing to evaluate following the release of the feature. Any change will be communicated via the changelog.