Attempting to build photosensitive alarm-clock - circuit questions
&quot;top node is +12V and the bottom node is -12V&quot; -&gt; make sure, that both your op-amps powered in right polarity (it is not clear from your circuit - looks like second op-amp flipped vertically not proper)
You are not separated multivibrator - the output of FIRST op-amp shorts your second op-amps feedback loop. You need to isolate it, and switch it ON by 1-st op-amp (which working like comparator), just second one select with EN (enable) pin option, and connect EN to output of the first op-amp.
decrease 1M resistor, or decrease feedback capacitor. You have RC= 1000000*0.000001=1sek, so I suggest to use 0,1uF and 10k res to have RC=0.001
eq. frequency 1kHz

An example:
Almost any n-p-n in this case will be OK. this case LM324 - both op-amps inside one case

Do not forget to add DC decoupling capacitor in serial with speaker - like on image 1...10uF
Second option: in this case QA2 should be in separate case (separate power connected by p-n-p).