Ah windy being neither a vegan, nor it seems in favour of veganism you have decided to answer a question directed at vegans, on the vegan board 
I am vegan, the environment being one of the reasons.
I wouldn’t reintroduce anything to be honest...although I did do eggs whilst pregnant/breastfeeding. With what I’ve learned since then I wouldn’t do it again.
Focusing on environmental considerations:
Dairy: cattle consume loads of feed- ‘free range’ are only outside during the better months, then they are in barns. Calves are taken away from the cow and are fed milk replacer, which has to come from somewhere...google suggests it’s a powder form of whey that has to be mixed with water, and who knows where the powder was produced. Cows produce tons of methane, a greenhouse gas and run off from cattle pollutes streams/rivers etc. Anti biotics are overused in farming, and are contributing to drug resistance in humans. Water pollution from farm animals is a massive problem in the UK and dairy farming is the worst for pollution incidents.
Eggs: my chicken owning/egg eating friend says she would only ever buy organic as the welfare regulations are more stringent but environment wise again, chicken farming creates pollution and there is the antibiotic problem (less of an issue with organic)...plus the whole issue about feeding chickens, energy and water use etc.
I know you say not much would grow where you are but even northern areas areas can produce barley, wheat, oats, potatoes, oilseed rape, veg...or be forest, meadows to allow biodiversity...or at least not have a load of pollution causing livestock.
Honey: humans don’t need honey, bees do. If too much is taken from a hive the bees are fed on sugar solution which doesn’t have the micronutrients in honey, and lessens the chance the bees will survive the winter. Honey bees are selected by producers for their characteristics eg docility, and this can mean that wild/more feisty bees end up having to share resources (pollen) with bees that are vulnerable to attack, reducing the potential for bees that make more evolutionary sense to survive/grow in number. Antibiotics are also used on bees. The best way to support bees is not by purchasing honey, it’s by providing pollinator plants, not using pesticides and by trying to buy organic locally produced crops where possible.
Before anyone bites my head off, as no doubt this will happen from the anti-vegan crew, the OP asked for a vegan opinion on animal produce and I have given one 