I don't have advice regarding rest, but I do have general advice for you to consider regarding how to think about workouts.
Each workout should be asking to accomplish some kind of goal. I'm a Daniels guy, so my goals are pretty easy to identify, but you don't have to have a Daniels-style goal, but your workout should be serving some purpose.
How you achieve that goal is an interplay between the distance of each repetition, the total volume of the repetitions, the amount of rest between repetitions and the nature of that rest (active or passive).
So you need to be more wholistic when coming up with workouts - the distance of reps and pace of reps and total boiling and the duration of the rest period and the nature of the rest all have to work together. If you only have 3 of those 5, then you don't have a well thought through workout.
I said I don't have specific advice, but I've changed my mind. That is not a workout that I would normally do or advocate, but if someone asked me to guess why they were doing it, I would guess that they are trying to do some end of season race modeling where they want to lock into race pace and then practice changing gears at the end of races. In that event, I would advocate short active rest between the 600 and 400 - 200m jog, and I would advocate 3:00-4:00 active between sets. The short jog will give you just enough recovery to make the step up in pace for the 400 possible, but is short enough to still simulate race fatigue. The rest between sets is long enough to allow for nearly full recovery, but still short enough to allow for your heart rate to stay high enough (assuming your are joggging as prescribed) to get a vo2max benefit from it.
Other alternative workouts to consider are 4 x 200-800-200 at mile pace/5k pace/mile pace with 200 jog in between reps and 3:00-4:00 between sets. This models race day a little better in that it simulates getting out hard, locking in, then finishing strong and it gives you a mile of continuous action at a time. Or 4 x 200,
4 x 800, 4 x 200 with 200 jog between 200s and 400 slow jog between everything else. This does the same thing but it groups the faster stuff together. Less gear changing for you though, so you may not like that one.