Wow, that is some intense [cabbage]. Why do they send people like that to psych wards anyway? Perhaps they can try improving their living conditions as well instead of shooting them up full of meds and locking them up in solitary.
Allowing people to have extra binds through levels makes sense, because not only does it give a reward for actually training the skill but as you descend the floors, they tend to increase in difficulty. Therefore, more bindable items help do those floors.
I do admire your work, but if that's the limitations of what you can do, my biggest suggestion to you would be to expand it. That would improve your quality as a graphics artist overall and would allow you to be more successful.