Do I really need 4 different water treatment systems with this water analysis?
You shouldn't need 4. The only dangerous thing is the barium, and permeakra is right that you should keep an eye on the equipment so that it doesn't silently fail on you. You should check perhaps once a month. It's only ~3.5 times the EPA limit, so a failure won't be immediately be a hazard (unless the sequestered barium is released all at once, but that seems unlikely).

The other 3 problems and the hardness are, at those levels in the water, are simply nuisances. So they will discolor your water, produce a weak sulfurous odor, and eventually clog the pipes, but they will not harm anyone. If you fixed the iron and sulfur, that would probably improve the color, so only 3 systems are needed. And you don't have to worry about the system failing silently since you will see it.

Check these statements before making a decision, this is too important to trust only one source!