LED still shines when MOSFET is off
I would like to point out two things:


Add a current limiting resistor in series with the two leds that are in parallel
Double check the use of the C3 capacitor because when Q3 goes to ON, C3 will see GND and in that moment C3 is already charged to 5V. So, you are discharging that capacitor too fast and that could be a problem after a while of being using the circuit.