if u have questions, u should post in the FAQ.

in any case...

1. HP - HP on the stat page will increase as the hime levels up or equip accessories. additionally, during combat, other bonuses will increase the hp of all himes even further. 10khp in combat is quite normal in the end game.

2. Holy Crystal - they are obtainable from daily missions. but the easiest way is to particpate in union events.

3. Draconic eye - you can get 1 free fragment each week by completing daily/weekly missions. 10 fregments = 1 draconic eye