Is this design of a charge amplifier for a piezoelectric sensor correct?
This circuit does not amplify.
At best, the ratio of input delta_voltage to output delta_voltage, in absence of that first large capacitor (1.59F), will be

500 pF / 31uF or 1/60,000

If you need that feedback time constant, then use 10Meg Ohm, and 31nF.