If IRS sees you did not sign, they will send it back for signature and put your return on hold.
IRS is way behind on paper returns.
You will probably get your return back soon to be signed.
meanwhile your second return is added to the pile and will be processed in the order received.
After all that you can file form 1040-X if there is still something that needs correction and that was not adjusted by the IRS for you.
