Depending on what your client dimensions are you will not be able to see the far left and right inventory spots in your Draconic chest.
Windowed: http://puu.sh/nh28h/2445b73539.png
full screen: http://puu.sh/nh290/8358c2c30c.png

There isnt really much that can be done about this. You will find that most mods that add massively over sized inventory screens like this will have the same issue. Its a limitation of minecrafts base gui code.