This is a good topic. I will say that the new technology is mostly in the eye of the beholder (user). I am sure a lot of property managers actually use most of what you listed. (Even if they have to buy it themselves, rather than it being furnished).
Let me say I have been in property management since 2002, and the PMC did not furnish computers even until 2010. At that time, there was a lease software for the subsidized complexes that was intended to calculate the subsidized rent and prepare all the documents. It had so many glitches, it was abandoned. No one seemed to be able to figure out how to make it work correctly. We immediately went back to doing all the paperwork by hand and calculator. We still are (although I am now retired).
The PMC does run some on line ads through USDA Rural Development, and another on line listing of all their properties. Most advertising is done through putting up a "now leasing" sign on the lawn, or running a newspaper ad.
In 2011, the managing agents got laptops to be able to hook into their office computers while on the road.
Learning to use this stuff comes by doing, not by going to some class. I have most all of what you listed but, being a gadget nut, I bought it myself. I am an old coot and I still learned to use it all, because that is the way I am. Most people my age won't have anything to do with a tablet or even a smart phone if they can help it.
All this was made for the younger folks. I can run any apartment complex with a calculator and phone. I don't have to have any of it, although I would qualify a cell phone as a necessary evil.