What are my chances for Yale?

I disagree. An 18/593 class rank places the OP within the top 3% of their graduating class – something very impressive for a student who is a first generation american student who is bilingual (English and Russian). While Yale (and HPSM) could fill they classes with valedictorians and salutatorians – they do not. Instead, Admissions selectively cherry-picks students based upon teacher recommendations, guidance counselor’s SSR, essays and interview reports. Six years ago, for example, at my son’s high school Yale passed over the valedictorian and salutatorian and instead took students with lesser rankings, including my son who was also ranked about 18th in his graduating class. FWIW: According to Yale’s Common Data Set, 94% of admitted Yale students were in the top 10% of their graduating class – so the OP fits very nicely in that category. So, your earlier comment in post 20 of this thread is dead-wrong and disingenuous. See: https://oir.yale.edu/sites/default/files/cds2016-2017.pdf.

Yes, the OP’s ACT/SAT scores are low for Yale – which is what I stated. However, the low scores are because of his/her reading and writing, which might be due to the the OP’s first language being Russian – and Admissions takes those things into account when examining a student’s file. As Jeffrey Brenzel, Yale’s retired Dean of Admissions stated on the College Board website: https://bigfuture.collegeboard.org/get-started/video-transcription/whats-the-most-important-part-of-the-application