Yup, just follow the steps listed on this help page for sharing your playlist. Looks like you have to use that little triangle icon at the top of the playlist to get started. Bad news is, it looks like it's the entire playlist, can't do it for different groups of audio files. I think it's set up more for music than for podcasts. :(
Nah, it took me awhile to find it too; truthfully, not until I read the FAQ on that help page. They really went out of their way to hide it :)
Let me know how it goes with the music player. It seems like it wouldn't be ideal for maintaining an active feed, but rather to quickly add a podcast to another site that you only need for a short while, since you can't setup multiple playlists.
It seems you are right about not being able to set up multiple playlists. I had the same problem on podbean.com. Oh well, I was just hoping it might work. Thanks for getting it up here. If you need to take it down for any reason, don't worry about my stuff. I can put it back on another 2.0 site.
This is the page I put it on. I does look nice! http://jazwiec.pbwiki.com/Music-Project