You can backfile up to 3 yrs I think. You should file you'll get free money. I've never done the backfile process and only heard about people doing it. Usually situations just like yours, young, not really having a job and not really thinking it matters.
Call the city and find out who to send the check to and problem is solved, they won't know about the other taxes you didn't file if you wanna do it that way.
I know a bit about taxes, but am by no means a tax accountant, I simply do my own for my family, investments, and business. This comes with a lot of reading on the IRS site so I pick up things.