Welcome to College Confidential!
You’re new here, so possibly you haven’t seen this thread. It’s written by an MIT Admissions Director, but holds true for Yale, as well: http://talk.collegeconfidential.com/massachusetts-institute-technology/939227-reminder-no-one-not-even-me-can-give-you-an-accurate-chance-at-mit-p1.html.
You sound like a wonderful candidate, as are the vast majority of students who will ultimately be rejected. With more academically qualified applicants than they have room for in their freshman class, Yale uses a student’s essays, teacher recommendations, guidance counselor reports and interview reports to help them select individual’s who will make a difference on their campus. As you haven’t posted those items – nor can you – no one here can say what your SCEA or RD chances are. Your GPA and test scores make you a competitive applicant, but beyond that you just have to send your applications out into the universe and hope for the best!