can we make correction in name during correction period after registration

Sam, we are afraid you cannot change the name after registration during the correction window. While this year, NTA has not specifically mentioned the editable and non editable fields in the application form, last year Candidates couldn't change their name once they have registered. In your case with your 10th and 12th certificates having different names and your gazette supporting your name as in the 12th certificates, you will have to reach out to NTA asking them what needs to be done because NTA specifies that the name should be as per SSC certificate.