After you file

That is common that they don't match ... make sure you correct that with your employer ... but the SS# should be correct.   You must file your return with the same name that is on the SS card ... the IRS matches up the first 4 letters of the last name, the year of birth & SS# ... if any of these don't match the SS records then the return will be rejected.

Are you sure the SS records are correct ?   Do you have one of those double last names  like Smith Jones ?
If you only entered Jones then try Smith Jones and file again.