For saved locations, there’s an option in the desktop uploader. When you change the location on the map, give it a name in the Locality Notes section, and a little pushpin icon will appear in the bottom right corner. You can then access your pinned locations for reuse later at the top center of the map.
Lists on iNat are one of the older parts of the website and known to be buggy. It’s probably best to use the “Your Observations” page for now: https://www.inaturalist.org/observations?place_id=any&user_id=mparrish&verifiable=any&view=species
Hopefully the iNat developers incorporate a “taxonomic view” into the observations page soon. There’s an open feature request for that here: https://forum.inaturalist.org/t/implement-taxonomic-view-for-observations-search-page/244