Does this oilstone lineup make sense for a beginner?

That’s a sensible progression, but you may not need all three right away. The coarse stone is useful for chipped edges or reshaping a bevel. For routine sharpening, a fine India followed by a strop with compound can be plenty. An Arkansas stone is a refinement step, not a requirement for getting a useful edge.

If you do want one, hard Arkansas is a practical stopping point for many jobs. Black Arkansas can give a very fine finish, but it costs more and the jump from India can feel large, especially on harder steels.

Pretty much. I’d choose based on the steel and the work, not just the number of stones. A Crystolon is handy when you need to remove material, while an India makes a good everyday sharpening step. Some harder or newer tool steels can take more effort on oilstones, so don’t assume a finer finishing stone will solve that.

Use enough mineral oil to keep the surface from loading up, and wipe away the swarf as you go. If your current tools are ordinary carbon steel, there’s no need to buy the most expensive Arkansas stone before you know you’ll benefit from it.

One-inch stones are awkward for plane irons, so moving to a full bench-stone size makes sense. I’d get the coarse stone only if you expect repairs or bevel work. For normal upkeep, start with the India and your small Arkansas stone, then see whether that leaves the edge where you want it.

Also check the stones now and then for wear. A stone that has become uneven can make keeping a consistent bevel harder, regardless of its grade.