Here is one, without values of the resistors listed, that seems to meet your specifications with a six volt battery,



For a buzzer, here is one under a dollar at Mouser

 

This type of a small buzzer will have a equivalent resistance around 500Ω .
Also try to do some real world measurement. Try to measure the Vce voltage (voltage difference between collector (red probe) and emitter (black probe) ) for T1 and T2 with and without the light. Also the T1 base voltage.