Class A Audio Amplifier
Just based on your specs you're going to have current draw issues.

You are driving the circuit with a 0.2 V signal and want a maximum gain of 10, meaning a peak output voltage of 2 V.

$$ \frac{V}{R} = I,\quad \frac{2}{8} = 250\ \text{mA} $$

This would also assume a 100% efficient system which you won't get anywhere close to in a class A amp.

I would recommend starting with a minimum working example, i.e. instead of starting with a multistage amp try and get a common-emitter amplifier working to your specs then see if you can improve it by extending it to a second stage.