Arduino + LMB0820 LCD

Hm, when attaching the Analog pins, 0,1,2. The black-spot on the back gets extremely hot. Something isn't right there.

When I attach more than 2-3 digital pins, the chip at the back gets to 40C and rising slowly, until it reaches such a high temp that I'm cutting off power to it.

I'm guessing it shouldn't do that?