Rebroadcasting streams on a schedule, shuffle and repeat

I have a need for some features that I can't seem to figure out how to do in Airtime.

1) Rebroadcast a stream on a schedule. i.e. to set up a show, and instead of adding a local playlist, add an m3u file or remote stream. I'd want to rebroadcast or repeat another streaming station, say, between 12AM and 6AM, then have other (local) shows scheduled at other times. Is there a way to do this inside Airtime?

2) Shuffle a playlist randomly. To have a show that has a randomly-shuffled playlist of songs. For example, for times that a rebroadcast stream is not available or cuts out, I'd want to jukebox some songs from the local audio file library.

3) Repeat a playlist endlessly, ideally with a re-shuffle  per the above. I'm looking for a way to fill in dead times with some shuffled music, unattended.

These features are needed for a fully automated station that will want to rebroadcast other stations at scheduled times, run some scheduled shows at other times, and at still other times just run a shuffled filler playlist.

Do they exist in Airtime? If so, where would I find them? If not, are they in the works?

Thanks!