I logged into your community to look at the theme cache issue and I am unable to reproduce that. While the last log of it was yesterday, it could have been during a period which the cache was refreshing, was corrupted, or something else with the storage on your server which interrupted it. If it happens frequently, that may be something to bring up to your hosting provider or disable template disk caching.
While there are so many errors being logged for the third party issue at the beginning of this topic, I may have missed the other log reported here in the system log itself but I could not find it in the last week or so. I would continue to monitor it though to see if it comes up again.