Hey, you had a mistake of not detecting the spelling mistake early before submitting the documents.
Any how, as you did not explain what is that "spelling mistake", the seriousness of the mistake cannot be assessed now. In order to rectify that mistake you may submit an affidavit stating that your name shown in some of the submitted documents as ----- are pertaining to you. The notary could make a proper form of affidavit for you.
Spelling of first Name in one contract letter