Negative voltage on both inverting and non-ínverting inputs of a differential amplifier gives non-zero output
V2 = 1.30 V to -1.30 V


That means you may have -0.65 volts on the non-inverting input (R3 = R4 = 1 kohm).


  Vcc and Vdd connected to 12 V and Gnd


The absolute maximum ratings indicate that the lowest acceptable input voltage is -0.3 volts. This means -0.65 is too excessive.

The recommended operating conditions specify that the lowest voltage any any input is 0 volts.

There may be other issues but this stands out as problematic for your design.