Feeding 2 stage discrete pre-amp to LM386 to add gain
The problem with your circuit is that, first of all, you are gonna have very severe distortions - not a Hi-Fi circuit.

Another thing that bothers me is that your DC working point appears to be wrong - transistor will be in deep saturation
not amplifying anything. As a rule of the thumb, the ratio  R2/R3 has to  be larger than R1/R4, to have some "breathing space".