Meet with an immigration attorney and discuss the form N-336.
Yes, immigration can look back more than 5 years.
But, it appears that you were denied because you didn't give them what they wanted, by the deadline that they gave you.
This is where an attorney will be able to help sort things out.
PROFESSOR OF IMMIGRATION LAW for over 10 years -- This blog posting is offered for informational purposes only. It does not constitute an attorney-client relationship. Also, keep in mind that this is an INTERNET BLOG. You should not rely on anything you read here to make decisions which impact on your life. Meet with an attorney, via Skype, or in person, to obtain competent personal and professional guidance.