Q3 is backwards, you need to connect emitter to minus and add a resistance on the collector. You are back biasing the transistor, an unpredictable state.
You could reverse it a bit like so...
Use 6.2V zeners. They will prevent shoot through. I have never tried this circuit.
One thing that stood out was polarity of the transformer, you need to be very careful there.
i couldn't make it..it's not working could u pls try it in your simu program? i'm reallly desperate now... if i cant do this i cant graduate...