AA
Vcm increases, current in the left leg decreases , leads to decrease in the Vp, as we should need smaller Veff to pass smaller current with same W/L ratio, when Vp decreases, current Iout increases, which in turn decreases Vcm, as seen, it is a -ve feedback, about the R-C network, it is to compensate for the CMFB stability , it is inserted in the loop , so that it can compensate for stability , you can use cap. only if this enough to stabilize the circuit, if not enough , you might use R and C, you should first check the CMFB stability before adding the R-C network, and see if it is worth adding them