If you went into your return looking around, then all of your numbers would have been updated with the program. Your unemployment was taxable until NM decided to follow the federal and make the $10,200 nontaxable. It is reasonable to believe that you paid tax on that income and it needs to be refunded to you.
Please verify that your amended form shows different amounts from the original filing and this one. Line 9 should have a difference of $10,200 between the two columns. If not, the amend is wrong.