you can try out loyomobile
they offer great package to go online and can access whatsapp in China
i have been using their SIM card since the past 2 years in China and it worked fine for me

the url is https://www.loyomobile.com/
their customer service is fast too, can consider bro.

from what i know, yes they do have package for you to be able to access FB and whatsapp.
you can ask their customer service for the package.