None to Run looks great! The slower the progression the better for beginning runners in my (also totally unprofessional) opinion too.
As a general comment, shin splints is the classic beginners too-much-too-soon running injury. Experienced runners get a whole range of other injuries, but rarely shin splints. The only time is after they take a break and try and come back too quickly (notice the pattern).
Yep, with running as an absolute beginner, you really want to start slowly, both in terms of tempo and in terms of distance. The key is regularity and persistence.
By running slowly a lot, your body has time to learn how to run efficiently and safely simply by trial and error. By not overdoing it, you give your body time to recover from any errors made during the "trials", without injury.
Incidentally, lot of slow running is also a great way to build up base endurance, so it is not wasted time, and you will "recoup the investment" later, when you start running longer distances.
Shin splints suck, though. Even experienced runners get them from time to time. Probably best to switch it up a bit, include swimming or bicycle instead of some runs every now and then.
As a general comment, shin splints is the classic beginners too-much-too-soon running injury. Experienced runners get a whole range of other injuries, but rarely shin splints. The only time is after they take a break and try and come back too quickly (notice the pattern).