If I'm invited to an recurring event on Google Calendar, how can I mark myself as "free" for the whole series and not only for individual events? If I click on one event in the series and edit my status to "free", this only applies to this one event? Using GApps for Enterpries on the Google Webclient in case that matters.
Google-calendar – Google Calendar: Invited to recurring event, how to mark as free
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When I receive an invitation in my Google Calendar (I assume you mean Google Calendar, not Google+ Calendar), the sender of the invitation will appear when I click on the event in question. It is mentioned just below the 'Where' entry.
Unfortunately, I'm not sure if this is also the case with invites received from Google+.
Unfortunately, since it's not originating from your calendar, you can't change it from your default calendar. All you can do is "copy" to the other calendar (and, possibly, delete the original).
Best Answer
What you ask for Google Calendar recurring events is not a native Google Calendar functionality. I suggest you can request Google to add this via Google Support.
In Google Calendar settings you can change general setting Automatically add invitations to "No, only show invitations to which I have responded".