>>2727242If you started from a nuc, the need to feed is reduced if they have stores since they're not starting with nothing (I would still feed though until the honey flow. They'll stop taking the feed once they get in their swing of things)
You should do the smallest entrance untill your hive is fully established (2 boxes full of bees). Your hive is very weak right now since they just started so they're in the "establishing" phase. By using the smallest entrance if makes it much more defendable.
Based on your picture, that looks very normal activity depending on the time of day and the weather, if its in the evening, they are getting ready for night time or if its cold, they just dont like to go out. If you started from a nuc, remember too that your hive likely started from a split off a bigger hive, so you probably have a larger ratio of younger bees who wont leave the hive, which warrants a feeder. You should see more activity pick up over the next two weeks as the current generation ages up and gets oriented to your location. As long as your queen is laying eggs and they got food, they're good.