looking at the schematic in post #1, the front end is really decoupled so it looks like low frequency like a temp/humidity sensor.

I have uploaded updated schematic. Please guide and feedback on it.

 

Indeed! What is the required frequency response? I think that in the data sheet it was mentioned that a gain of up to 10, 000. Has the TS examined that possible option??
I don't see any issues with the most recently posted circuit . But if this design is for a commercial product there could be some cost reductions possible.