Opamp: Compensate to achieve constant gain
Putting aside eccentricities of LM318, I see these issues:

time constant of R37/C16 is 1 microsecond, thus 3dB of 160KHz. This does not allow good gain (flat gain) to 500KHz.

imbalanced resistor ratios from the 22 ohms of the Bridge sensor to the opamp Vin- and Vin+

---- R31/R37 has ratio of 22/18,000 or gain of about 800X

---- R33/34/36 has ratio of 22+1000/18,000 or gain of about 18X

having a fast opamp try to drive a 22 uF capacitor; you'll have an oscillator.

No bypassing for the two LM318 Power Rails

The surge currents needed to (attempt to) charge the 22uF will upset (cause sag) in the +VDD, and that will impact the first LM318; this is a feedback loop that will also cause oscillation. Design a VDD_tree; 22uF on each +VDD pin of the two opamps, with 10 ohms from VDD pins to the global VDD. This 22 * 10 = 220 uS timeconstant will help prevent VDD_based oscillation. You may need 100uF on the global +5v (because of the high current needed to charge_the_22uF_CLoad)