The ways which join the road to the parking lots (eg. https://www.openstreetmap.org/way/1396730532) should be "Driveway" (highway=service + service=driveway) not "Unclassified" (highway=unclassified). As a rule of thumb if you drive up and over the footpath it's a driveway. For example this is unclassified https://www.openstreetmap.org/way/151689579