Poster said taxes "of any kind." That implies nothing.
Magda, are you an independent contractor or are you an employee and this person is screwing with you (and the IRS)? And did you get a W-2 or a 1099? Or neither?
If you're an employee and your employer is just screwing around, you wouldn't owe any federal taxes on that kind of amount (especially with a kid), assuming you don't have other income you didn't mention. But you could still owe state or local taxes, which is screwing you over not having those deducted. You'll have to suddenly come up with the money unexpectedly. And in some states you are also responsible for unemployment and workers comp. If you're an employee, you need to get this issue straightened out with them before you have another year of this.
If you're an independent contractor, you still have to file if you want EIC or have other income, and you'd have to file state and maybe local. Even if the local laws don't require estimated payments for that amount, you still would want to estimate and set that money aside for the future.