Re: Bees crawling inside of hive top feeder
Dittos, Keep feeding until all the frames are drawn. If you let the feeder run dry, shake out the bees and fill it back up. Might not hurt to put on some pollen patty too. You should get 3 medium boxes drawn to use as the brood nest. Once you do, you can stop feeding. But, I would continue until the first super, the fourth medium box, is drawn out and filled. BTW, that is known as a Rapid Feeder. They are good feeders, but you have to keep syrup in them or the bees can get under the center cone, as you have discovered. In the winter you can remove the cone and fill the tray with granulated sugar to feed the bees.
Please edit your profile to include your location. So much of beekeeping advice is localized. What I might tell you, me living in Virginia, would not be right for this time of year if you lived in say, Wisconsin.
Thankfully, the bees are smarter than I am. They are doing well, in spite of my efforts to help them.