I received a notice of rejection with FW2-502. I am attempting to print a new version with minor corrections. However, the amounts owed Fed and State have changed since last time. I was told to remove cookies that may be blocking my edits

That means the the employers EIN on a W-2 does not match the IRS database.   Check your W-2 to see if you entered it correctly.  If you did, check with the employer to see if they put the correct number on the W-2.   If it is correct the the errror might be on the IRS end so the only option will be to print and mail the return with a copy of the W-2 attached.