I talked with Rachel from Beez Neez on Saturday. Beez Neez is a place I go regularly for advises (and good honey). According to Rachel, the few wax moth larvaes I found (3 total near the landing board) were likely removed by the bees themselves, so I probably have a few more eggs in the hive, but the bees seem to be doing their job getting rid of the larvaes. There is nothing I could do now about it.
I checked the opening yesterday night, and found two dead bees near the entrance. On Saturday, I removed the entrance reducer and found just 1 dead bee behind the reducer. So far so good.