Multiple buttons connected to reset pin
Try wiring up your switch circuit as shown below. This is not the ideal circuit since the low level time of RST is similar to your original circuit but may be good enough for your application. A better circuit would introduce a low pin count comparator to give a full logic level pulse to the RST pin.

 

Use BAT54A diodes in SOT-23 package to reduce package count (2 diodes per package). Select the resistor sizes and capacitor value to provide suitable timing. This circuit should be substantially smaller than all the 100uF capacitors you have now. Also add the diode shown in the upper right to clamp any push up voltage to a Schottky diode drop above the 3.3V rail.

The better type of circuit would follow a design more like shown below. This will give a nice clean RST pulse at the time the switch is pressed. Add additional switches in same manner as shown above.

Note that this does not give any consideration of switch bounce. If you have switch bounce and do not want to have repeated fast reset pulses to the MCU then additional design work is required.