While I agree with Coach K's point (what's the context? what are your other training sessions like? etc.), there's certainly nothing inherently wrong with your suggested progression of workouts.
But do keep in mind precisely what your objective is in performing these. I assume the following (but I grant 100% that your emphases could be different). I think you're
a) working on pace sense for 3200m and 1600m; plus
b) honing the ability to accelerate smoothly, while staying relaxed and efficient, off each of those paces; plus
c) simulating running a fast, yet controlled, final 200 off a strong pace.
While this is a lot of different things to focus on in a given session, by the last three weeks of a solid program you'll have the physical and mental skills to handle them with no problem!
Notes:
1) This kind of training is primarily for rehearsal--skill development, not conditioning! (The conditioning is developed in the pre-, early-, and mid-season schedule that include "decent mileage and a number of pretty high volume workouts.") Therefore these reps should come early in your session: probably after a race-type warmup, but *before* any additional activities in the session. (You best develop skills while fresh, even skills that you'll have to use when you're fatigued!)
And you should have very good rests between repetitions, because what you're after from this workout happens within the repetitions themselves and NOT from the combination of rep-plus-recovery. Overall, this session most likely should be a pretty light day.
2) Each final 200 should be a practice for how (how technically, not how fast!) you might end a 1600 or 3200. Again, it's a skill you're working on. Be sure that you "tidy up" your form before you move into that last 200. Some runners go through a whole mental form-checklist before they accelerate into the final kick; I'd suggest that you work with your coach and pick just one item (or at the *very* most two) that will "key" your final move.
Because you're working on skill, your coach may actually want to stop the watch--i.e. *not* time your final 200--and just coach by eye, so that you're both focusing on the how, not the how fast. S/he may want you doing something specific on each of these finishes: sudden accelaration? gradual speeding up? quickening tempo first, *then* lengthening stride? Whatever it is, you don't want to get distracted by "running for time."
Similarly, not timing the last 200 can prevent going "balls to the wall," and let you better simulate how you'll actually finish after 1400m or 3000m. All-out, BTTW stuff in practice--which you'll certainly be *capable* of doing, as you generally freshen up in the last couple weeks of the season--can leave some people with dead legs on race day (though, again, I grant that you and your coach will have the best sense of this).
Anyway, I'm pleased to see that you and your coach are collaborating, working together as a team while preparing for these important final meets. Sounds like s/he's an educator, not just a workout writer.
I think you'll do great, and would be really interested if you'd report back to let us all know how you do. Good luck!