As someone who hosts a bunch of other stuff already including my own email (because I am a madman), does stuff like this as a job, has developer experience, etc. it was simple.
Figuring each of these things out (and how they all work together) for the first time was a hell of a journey.
Things don’t get backfilled, so until a new action happens on an old post/comment/etc they won’t show up on your instance. New things should make their way in eventually though.
Taking the link of a specific post/comment from the community instance and searching for it from your instance should populate it on your instance, just like you probably had to do to get this community to show up so you could subscribe/post at all.
There are backfill tools/scripts, but unless you really want old posts I wouldn't use them. It unnecessarily increases the load on already struggling popular/overloaded instances like lemmy.world.