After you file

Whoa.  Let's start over.  You entered the first W2 and filed it and it was Accepted?  You are suppose to enter all your income on the same tax return before you file.  Yes you needed to add the other W2 before filing.  So yes you need to amend that return to add the other one. 

 

I don't understand what answers you would need to change on the first W2.  You needed to enter them both one at a time.  It didn't matter which order you enter them but since you  already filed one you need to wait for that one to fully process and the IRS send you the first $11 refund.  Then you can amend to add the other W2.  The original return you filed was a 1040 Tax Return.  The Amended return will be a 1040X return.   The amended return isn't ready to do until later February.  So there's no hurry .   Oh, and you may have to pay back the $11 if you end up owing on the amended tax return.  

 

Do you have any other income you didn't enter?  Like any bank interest?  Or other things to enter like health insurance?  Were you a student or a dependent on anyone else's return?