For starters, read the help files. They contain lots of useful info. If he was using his hone professionally and with good results, then I don't see why it shouldn't keep your razors shave-ready.

1) Your supplies are ok, especially assuming you have a good brush/soap(s).
2) You need to strop just before each shave and sometimes even in between passes, but I've never had to do it.
3) The rule of thumb is every 5-15 shaves for a refreshment on the hone. Basically when the quality of the shave deteriorates significantly. It depends on your beard and how delicate the blade is.
4) The strops should be lightly treated with mink oil or strop conditioner. As long as you shave regularly with the razors, you don't need to do anything other than keep them in a dry place. The hone will need to be occasionally scrubbed with a stiff brush and lapped on a piece of 600-grit wet/dry sandpaper (in wet condition ofcourse) on a glass plate or any other flat, SMOOTH surface.

Good luck and welcome aboard Todd.

Edit: It is obvious that those blades have been used a lot and that your uncle knew what he was doing:
a) There is a lot of hone wear evident.
b) The edge is very even, a sign of someone who knows how to hone a blade. Ask him for honing tips and pass some on here, we're here to both teach and learn.