Put the podcast post to the archive (longpress-menu file symbol) and it is moved away from the playlist (to the history - everything ends in the history). Or (just to mention): play the post to the very end. After playing it is also put to the history.

If a post is not downloaded it should be downloaded again some time later (minute timer) when the internet connection is stable again. What might help: Switch to another page and back to playlist (then the re-download is triggered outside the timer loop). It also should try to re-download after restarting.

Yes this is not as good as you (and me) want to have it: There is some handling missing for hanging http downloads. If someone has an idea how to make it better with the used urllib this would help.