To your question, Yes, You would have to send in a , Professionally Photoshoped Government ID, The Address shouldn't really matter, Because you are updating all the info when recovering anyways. And for the Date of Birth, It really shouldn't matter unless its a Driver license.
P.s, Just a few wise words, Tampering with Federal documents and providing false information using a scammed ID, is grounds for Federal charges. So its up to you.