Do I have to give all permissions requested to be able to archive Facebook?

Professional Archive - Social Media - Facebook

Yes, all requested permissions are necessary for Smarsh to be able to fully capture a Facebook account. This does not mean Smarsh will be managing your posts or looking at your friends, or have any visibility into your personal external emails (only receiving your email address listed for your Facebook profile) etc., it's simply the level of permissions Facebook dictates that Smarsh needs to have to be able to capture data.

Important: Unchecking any permission(s) will result in a failure to reauthorize.

All details of permissions given to Smarsh App for Facebook archiving are given at What is Smarsh - Archiving & Compliance allowed to do? 
portion of the setup. 

You can also review What content does Facebook API capture?  for a full list of information Smarsh will receive from Facebook for archive and compliance purposes.