Just a suggestion, but admins should be able to bypass the calendar Moderation Queue automatically, or turn it off altogether. Is there any way to do this?

Yes it can be done.

Post on IPSBeyond for assistance or if you want you could open a support ticket :)

Can't do that - My perpetual license has no support anymore.

If it already can be done, this topic is useless.

/me runs off searching in the ACP.