Subashini, what you are stating is totally wrong and doesn't make sense at all. Either you didn't understood what your international advisor told you. Consider these two diffeernet scenarios. Filing taxes is done with the IRS and maintainins status and abiding by the rules of your visa is another thing. Let's say you are working using SSN on F1 visa but didn't file taxes. That means you are voilating your visa by working when not authorized to work and you are voilationg federal law (not filing taxes when making income). 
They (USCIS) will surely look if you filed or paid taxes when you were required to, that will be important when they file for green card. 
But if you file taxes in F1 status, which you can't because you have to pass the residency test. But certain things like you make interest in your bank account, sell stocks and made money, received dividend, or stepiend income, those things should be reported by the party who withholds tax on your behalf and report it to the IRS. But that doesn't mean you have to file taxes.
As you have already filed taxes, the best thing to do would be to do nothing and hope that they don't get you in trouble. 
IRS do have systems that can verify your social security with the social security administration, but they wouldn't have anything to verify wethere you are eligible to work or not. Immigration/USCIS can verify if someone is working illegally or not with enquiring with IRS, in such a case IRS will release your information becuse they are goverment units.