No. If you did not pay the $474 in estimated taxes, and "But I Did Receive A Refund Last Year For $474", you will not get it back again. You cannot get something back a second time. Each tax year is separate unless you select to apply the refund from one year to the next year, which if you received a refund you did not do.
If your return has been processed by the IRS and they did not catch that you left off two W2s, then yes, you will need to Amend Your Return. You may get a refund, if due one, based on the new amount for what you paid in and credits you are eligible for with those W-2's, but if you include the $474 that you did not pay and received a refund of last year, amending your return will not change how the $474 is handled.
If that $474 was already refunded to you last year, you should not mention it at all on your current return.
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