This really does not seem like a good workout, that would be 5k at 3:35/km (5:47). I don't feel 200s are the best for 5k and def not with 15s rest.
I would recommend just doing threshold work with a few strides 2-3 times per week. Start with 3x100m strides and build your way up to 6x100. If you do that you will get 1800m of weekly "fast" mileage, plus a 20 min tempo around 4:10-4:15 (6:48). Tempo's and threshold intervals will get you 95% of the way with a lot lower risk of injury.
Terrible Tuesday’s Triathlon
I would recommend just doing threshold work with a few strides 2-3 times per week. Start with 3x100m strides and build your way up to 6x100. If you do that you will get 1800m of weekly "fast" mileage, plus a 20 min tempo around 4:10-4:15 (6:48). Tempo's and threshold intervals will get you 95% of the way with a lot lower risk of injury.
Terrible Tuesday’s Triathlon