Among the documents are I-766 Employment Authorization Document, EAD, DHS Work Permit.
I'd like to inquire about the limit on how many replacement cards I can get for my Social Security card, and are there any special case to prove that I need a replacement card?
yes, there are limits. You are limited to only 3 replacements a year and 10 replacement during your lifetime. There are exceptions like changes in immigration status, legal name changes or if you can prove that you need the replacement to prevent a significant hardship.
What if I haven't yet stablished my citizenship with you guys?