That cluster of bees on the back of the hive looks like it could be an AHB usurpation swarm. I'd check it very carefully to see if there is a queen present, in that cluster. If there is, I'd kill her, but make sure your colony has a viable queen present, first. Also, the noise coming from your hive, "loud roaring buzz", could be the sound of queenlessness. If an usurpation swarm has already infiltrated your hive, they may have already dispatched the resident queen.
Why are you feeding? You appear to have honey supers on the hive. If you feed, with honey supers on, and there is a flow, at least some of your "honey" will likely be contaminated with the feed. If you're needing to feed, you should not need honey supers. Honey supers are for after the colony is strong enough to work the flow, and for placement on the hive(s), as the flow begins. Also, feed is used in locations with actual Winter, to ensure the colonies have enough stores to take them through Winter, or periods of dearth. If there are stores in the hive, there should be no need to feed.
Again I ask >> What does it look like inside the hive? Are all the frames filled with combs, even the honey supers? Are all the combs occupied with bees? Is there honey in the combs of the honey supers? Is there plenty of bee bread adjacent to areas of brood? Are the bees bringing in pollen? Is there much brood? If there is brood, how much brood, and at what stages of development?
>In Santa Barbara, there should be good flows, right now, from many sources, various varieties of Eucalyptus should be in bloom, among other things.
-----------------
I first began keeping bees, when I was ten years old. Not far from where you are, in Los Alamos and Lompoc. There, like here, Winter is not the same as it is farther North, or at higher elevations. Our earlier Winter rains, are giving us a flow, right now, from wild rape and creosote bush. I would expect also, in Santa Barbara, that nectar and pollen are not in short supply.