Good luck on the EEOC charges.
What is going to happen is you will file a complaint.
The EEOC will then contact the company and request documents. The documents will come back and the EEOC will find "no fault" but issue you a "right to sue" letter.
This happens to something like 95% of the EEOC investigations.
You will then have the right to bring suit. That means getting a lawyer and going through the motions.
A failure to hire charge is one of the more difficult ones to prove. They can say you were overqualified, that someone else was more qualified, etc.
That is not the path I would take unless during an interview something obvious was said. It is very difficult to prove.
- BTW, one the of lines I underwrite is employment practices liability, so I see charges like this all the time on accounts I look at. I've been doing this for 6 years now and have seen thousands and thousands of complaints/lawsuits. Some of the most trivial things can turn into big money or vice versa depending on how suave the company is (you will not have any luck against national chain stores - trust me on this one - I am sure they have employees of your national origin somewhere, so that right there will get them off the hook for racial discrimination in a failure to hire case).