This was to your first set of pics. If you digest this response it will clear up your second set.
OK. That helps.
Apple’s Support info at https://support.apple.com/en-us/HT201859 and in the iOS and Mac user manuals at https://support.apple.com/manuals doesn’t give us the fine details, but I THINK the Podcasts app (not “Podcaster”) is a guide for the settings of new Shows to which we Follow, but are overridden by the Show and Station settings. That MAY NOT be the case, but we’ll figure it out with more experience with this new iOS 14.5 app overhaul. I bring that up because you have chosen in the Podcast app settings to Hide Played Episodes.
Do you want to have a Station list all played episodes of Shows or just select ones?
If you want to see ALL played episodes in the Station list, you need to turn Off the toggles in the “In Our Time” Show settings for Hide Played Episode and Remove Played Downloads. Also turn Off the toggle in the History Station settings for Unplayed Only. A Stations cannot contain both Shows keeping only unplayed eps and Shows keeping All eps.
If you only wish to see select played episodes in the Show and Station lists, you need to leave the toggles in Show and Station settings as you currently have them, but must individually mark those select eps as Unplayed after playing them each time, however cumbersome. A better way than keeping them in the Show or Station list is to simply Save them. Then you’ll find them in the Podcasts app Library in the Saved list.
Incidentally, the best way to go back and find a recently played episode in a Station is the tap the icon on the bottom left (circled), then choose See All.
