I am currently testing a 2 stage Picoammeter (which I have soldered onto a PCB) whose overall design is:
1. Input current goes into a Transimpedance amplifier with a gain of 150M.
2. Output of TIA goes into a RC Filter with a corner frequency of 10Hz (10k and 1.5uF).
3. Output of RC Filter goes into a Non-Inverting Voltage Amplifier with a gain of 7 (50ohm and 300ohm).
4. Output of Non-Inverting Voltage Amplifier goes into a RC Filter again with a corner frequency of 10 Hz same as before.
The entire circuit is powered through a 9V battery feeding into a railsplitter to get us a bipolar supply of ±4.5V to power all the OpAmps.
Here is the Spice Schematic:

Here is the PCB Schematic:

Here is the view of the actual PCB:

I have thoroughly verified the working of the Railsplitter, Transimpedance Amplifier and first RC Filter Stage, as in the output is a fairly linear function of the input current.
Problem: I have attached a 2 pin jumper to either connect/disconnect my non-inverting voltage amp (marked as A and B in the schematic and actual PCB) to the output of the RC Filter. The Non-inverting voltage amp works fine on its own (when you disconnect it from the previous RC Filter and supply a input voltage). The very peculiar problem is that when the two stages are disconnected even a simple act of touching the node B with a wire drastically alters the voltage at node A (for example with a input current of 1nA I get the output voltage to be around -145mV but touching the node B changes it to 145mV). I am stuck with this issue for quite some time as I very much want these two stages to be independent of each other and am not able to figure out why is the voltage amp affecting my RC Filter output eventhough they don't share anything?