What ist my Chance to get into Phillips Exeter or Phillips Academy?

Hello
I am applying for Phillips Exeter and Phillips Academy
I am currently exchange student in the USA
I am from Germany and if the background plays a role I am a German-Russian Jew and son of immigrants
I have only A’s and I am taking iB (Cambridge) classes in the highest level except of English and Spanish
I am 15 and a junior because I skipped a grade in the USA
I play JV American Football and soccer (8-9years) here during my exchange year and I took Utah Football Statechampionship 2015
I speak 4 languages (German, Russian, English, Spanish) and currently learning Esperanto and Mandarin Chinese and languages and foreign cultures are my passion
I volunteer for a non-profit organization every week in my free time
For 4 years I was working and leading for 1 year my school library in Germany
I was also school speaker (student body president) in 9th grade for 7th-9th grade (500 students)
My biggest weakness is probably my SAT in which i only have a really remarkable Math Score but I am retaking it
But I have a really big fear that I won’t be accepted because the only reason for my exchange year is to get thru PEA or another private school into a Ivy League (PEA is de facto a big part of my “American Dream”), everything I did the last years was to be accepted into a good school which does challenge me
What are good tips for the application and do I have a chance?
I am thankful for every idea

P.S. I would apply for financial AID but if necessary I could find a way to pay on my own
And I am not sure if cultural diversity and more competition/contribution in different languages

Exeter is not need blind. Andover is. This will have a big impact on your admissions chances.