I updated your account level and you should be able to add more links now. (Yep, the take-a-screenshot.org link was counting as one of the links.)
It doesn’t look like there is a Place for iNat for the city of Berkeley, though someone correct me if I’m wrong.
https://www.inaturalist.org/search?q=berkeley&source[]=places
The Explore page is due for a redesign and clearing up the difference between iNat Places and that Locations field (which comes from Google) should be high on the list: https://forum.inaturalist.org/t/ideas-for-a-revamped-explore-observations-search-page/8439