How to submit vital records like paystub, DL and bankstatements in a sealed way as a proof of residence so that it is sealed ?

Without knowing what sort of case you have, it is difficult to answer your question. However, if you wish to submit information to the court, it must be made available to your opponent in most cases. If you have an order of protection or similar matter, you may be able to have that information impounded or sealed. The best person to answer your question is your lawyer. If you do not have one you can consult with one privately and that information will remain confidential.

You ought to be able to file redacted versions of your documents in order to protect your safety. If the other side objects, then you can discuss the issue with the judge and allow him to view unredacted copies in camera. I am not an Illinois attorney and You should consult with an Illinois attorney to make sure this process is allowed in Illinois courts.