This is an excellent post, except for the first statement, which was so flawed that after reading it, some may be inclined to tune out the rest of the good advice given. The statement that "22min race pace should not feel that way for the breathing" is just wrong. Regardless of one's point of development, I don't care if one is a 15minute runner, or a 22 minute runner, they both will go through that point in a race (key word) where they very well may ask themselves, "why I am I doing this?". When racing a 5k, one is taken well beyond Lactate Threshold, and to their 2nd (if not 3rd) ventilatory threshold, and it is not going to feel "comfortable".
With that out of the way, I wish to expand upon what was said about the breathing and emphasizing the "exhale" rather than the "inhale". You can try this experiment sitting down:
Step 1, Breathe out 3 seconds then in 3 seconds, normally.
Step 2. Now try the same cadence (3 secs in, 3secs out) but emphasize the inhale (take a big breath whereby you can hear the loud rush of air into your mouth). Your shoulders should rise as you try to forcefully suck in air.
Step 3. And lastly, try doing the opposite in this manner: on the exhale, use your diaphragm to squeeze the air out; squeeze hard, to try and exhale completely, and notice what happens on the inhale. What happens on the inhale is that the air will rush into your lungs rapidly, without you even putting in effort to inhale. The rushing intake will sound as loud (if not louder) as it did in step 2. BUT, your shoulders do not need to rise up like they did in step 2. Why is that? Because you squeezed out so much air on the exhale, that you created a vacuum in your lungs, and atmospheric pressure will push air into your lungs to fill the void.
But when trying to breathe that way when running, why does that not cost energy to exhale with the diaphragm like that? It does, but you don't spend as much energy as you would in trying to gulp in air. In addition, the squeezing of the diaphragm and breathing, in cadence with the foot-falls, helps in-effect, to tighten up the posture to absorb the shock load of running.
Try it when running. When you pass from the 1st ventilatory threshold, from 3out-3in, to 2out-2in, instead try 3out-1in, putting a little extra effort in squeezing the air out, and you'll find the air rushes back in when it is time to breathe in.