Welcome to the forum Ron,
I am located just to the north of Sydney close to middle harbour and can answer most of your queries.
Bees in the suburbs where you are do produce honey all year round, just depends on whats flowering and whether those flowers are producing nectar. Make a note of the flora i.e. the main trees and bushes as these will produce the food your bees need to survive. Currently in my area, stringybarks and scribbly gums are flowering and the bees are all over them.
We are about to come into spring so a nectar flow is expected in the next month or so, as I mentioned above, take note of the trees and shrubs, are they budding? Even across Sydney, the same flora can flower at different times of the year.
Without trying to alarm you, but pests & diseases occurs very regularly. Unfortunately there are a lot of unmanaged hives about which contribute to spreading the diseases, you will need to pay attention. AFB is the most serious and is the worst it has ever been at the moment. Hive beetles are not too bad due to the dry weather conditions however hives in coastal areas are more prone to having large numbers of beetles than hives on the western side of the mountains.
Hives rarely starve in our climate and location, AFB and the Hive Beetle (SHB) can devastate a colony in a short space of time. Saying that, I have never lost a hive to either which I put down to luck and vigilance.
In your climate, the only reason for a hive to fail will be AFB. Keep an eye on their food stores, ensure the queen is laying and keep them in a sunny dry position and you’ll be fine. You shouldn’t need to feed them, so only do so if their stores are low or non-existent… take photos of your brood frames when inspecting and write down what you see, notes & pictures will help you to build a history on their progress.