The buzzer has no reviews and no details on current required for the device.
so I connected buzzer in series with LED
However, it does say it can hang off an IO pin but, an IO pin might be able to source 10 mA. So, if it needs 10 mA (who knows?) then putting it in series with the LED isn't going to work because you'd drop 10 volts across R7 but the supply is only 9 volts and you need at least 2 volts for the LED to work. This is the most unlikeliest of scenarios to work.
Putting it parallel to the LED is an improvement but, if it needs 10 mA to make it work, you still have the same problem as mentioned earlier and, the LED (assumed to be a standard type) will limit the voltage across the buzzer to about 2 to 2.5 volts. I still don't think this will work.
And, you can't really put it directly from TR3 collector to positive supply either because, the buzzer maximum supply is 4 volts so, maybe, with a little bit of luck you can wire it from collector of TR3 to 9 volt supply with a series resistor of 470 ohms.
If this doesn't work then, unfortunately, with things bought from hobbyist sites with no reviews and no data sheet then this might prove to be a good lesson learnt i.e. you should buy from a reputable source that also provides a data sheet and has some good reviews.