1 Pretend that nothing is extraordinary. Just present my new EAD to my employer and explain to them that even the starting date does not look good. But because USCIS made a mistake.
The risk is that later on if someone check my employment record, it would be a gap between Oct2010 to 03Jan2011.
-You are legally to work as long as the employer does not care about it. Just keep the EAD approval document such as print-out of the online approval status and the EAD application receipt. USCIS has your case information in their system and if someone questions it, you can show the evidence and they can confirm it from USCIS. So, nothing worried about it (it wil not affect your status or somehting else).
The error came from USCIS because they mailed my first approved EAD to a wrong address. Then they did not treat my 2nd application to be a replacement, instead they treated my application as a new application. Not to say that
I have to pay twice to get this lousy service.
2 First give the copy of my EAD to my employer, stating that I have an approved
EAD. The mail this EAD back to USCIS and request a correction.
-Not need to send the new EAD back to USCIS because this is a new card based on the new application as USCIS treated. You can use this new EAD until it expires.