LM386 circuit design questions
First problem is that usually a PP3/LR61 type 9V battery can't provide enough current to power the amplifier to drive an 8 ohm speaker.
Otherwise the component values are pretty sane, except for the Zobel capacitor. 1 uF with 10 ohms Zobel network is an RC filter with 3dB point at 16kHz, which is well within audio band. It means that at that frequency you have both the speaker and the Zobel network loading the output, so extra power is needed. The original Zobel network is made to stabilize the output by having the 3dB point at near 300kHz which is the bandwidth of the chip.
The 2200uF output cap is kind of overkill, but with a 8 ohm speaker it does provide 3dB point at 9HZ, which means the phase will be linear down to 90Hz or so.
Just don't expect Hi-Fi quality out of it, especially when powered with a 9V battery.