Unable to answer "Do you have to pay to park here?" – Parking Lot – https://osm.org/way/1118903631 via StreetComplete 57.2:

最初の1時間無料。当日1000円消費で総3時間無料。それ以降は100円／20分、最大1000円。

Attached photo(s):
https://westnordost.de/p/216895.jpg