As others have mentioned, this kinda misses a "category" filter that is not just a search. I would suggest using the osm database for this (e.g. via overpass). If the data is good (depends on the location), this is better than just a keyword search.

I also have another issue: If I put the same thing in two different criteria (with different settings), it says the heatmap parameters are invalid.

My use case is this: I want to have a big station reachable within 30 minutes by public transit and any light rail station within 10 walking minutes. But this big station could fall into both of them, which, to me should then be handled according to the set criteria (maybe just treat it as two different entities entirely, just with the same coordinates?)