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the statute of limitations is 3 years to file charges. highly unlikely to have charges filed at this time.
no. first of all the elements for the identity theft do not exist merely by giving the name - id theft has many elements that include intent to defraud for profit, etc. your intent was to cover your identity. if they were going to get you on anything it would be for false information to a police officer. many criminals have alias - yours will be noted on your record until it is expunged. there is no way you can be prosecuted or charged with identity theft
good luck to you
i did answer you. here is the illinois law on the statute of limitations - it is 3 years