Is State amendment required in federal amendment?

I filed my 2023 taxes already, and am now contributing to my 2023 IRA. However, I discovered an error that will result in an increased income by $100 (related to an IRA promotion that was withdrawn during conversion), leading to $24 in additional taxes. I have the federal amendment form ready and wanted to confirm the following:

 

1.Since my AGI increased by $100 and I now owe $24 in taxes, I assume only the federal amendment is required. Is that correct? Can I skip sending the state amendment since it didn't result in any changes to my liability?

 

2.I am supposed to include a $24 payment that I owe with the amendment. However, I don't have checks. Can I electronically pay it and attach a receipt or use any other alternative method?