Hello guys!

What is not migrated in Hybrid Deployment between Exch 2013 and Office 365? I know that Email, Calendar and Tasks are mig

A hybrid deployment doesn't migrate anything.  When you move a mailbox, everything in the mailbox goes with it.

Permissions (send as, full access) is migrated?

If you deploy DirSync and do everything properly, most permissions are retained when you move a mailbox.  Some things don't work well cross-organizationally, however, such as when one mailbox is in Office 365 and the other is on