I noticed that whilst a weapon shows the latest unlocked ability, it doesn't show all of the abilities you've unlocked so far. Is there a way to see your progress? I'm using mouse and keyboard.

Also, how do you see data you've collection, as well as notes?

Might be too late at this point but in the inventory, press the Detail button (Y). That will let you select left/right on the abilities you've already got.

This only works on the general inventory, not in your equip weapon window. Not exactly intuitive...