Wow what rude responses for this question. If the touch does not work after the reset you tried and there is not a screen protector on it, I would replace the screen. The screen on the Galaxy Tab 3 is not a difficult one to swap out. If you need any help doing it, there are guides on this site for you. Hope you find the fix.
Use a screwdriver that allows you to stick something through the handle like the ifixit kit does. This gives you more leverage.
the logic board is inside the disk drive. Remove it and replace it into the new disk drive. This is the same on the Xbox and Playstation