Also, you can purchase new badges in the store. Even if they don't have any available to sell, it's still listed. You can see what the badges do, and none say add pitch.
You can purchase perks in the store, these are separate from archetypes, my character is has a silver archetype in Cheesy Filth, but two diamond perks. The archetypes are not being sold in the store.
I don't think it is. Have you been able to train to make you attribute caps bigger? I haven't.
There is no ability to raise attribute caps. Your capped stats are only part of the equation. The Ballplayers' overall rating in a stat is a combination of your archetype rating and the capped rating in the training modes. Each archetype adds a chunk of points into stats and that change is shown as a number in parenthesis over each stat. You can see the combination of the two in your loadout and in all of the menus where your player's core stats are shown.
I am in my second full year of the majors, 3 year total. I have played every game, I am 80 OVR. I still have not been able to add a fourth pitch. At this point I assume its locked behind the gold and diamond archetypes but with the pretty rough launch the missions dont work most of the time.