Are these mistakes worth emailing Yale for?

I completely agree with your guidance counselor; NONE of the things you think should have been mentioned will move your application forward.

In fact, mentioning depression and anxiety might torpedo your application, as it’s a hot-button issue on college campuses. Yale hasn’t been as outspoken about the issue as Harvard, but here’s a quote you might find interesting: http://www.thedailybeast.com/articles/2013/03/18/mental-health-breakdown-when-harvard-fails-its-students.html

With attitudes like that, some Admissions Officers are more than willing to find another reason – any reason – to reject a student who mentions their depression and anxiety in their application. You were wise to follow your GC’s advice.