About generating positive and negative voltage from the same power supply
You are using positive and negative linear regulators to obtain +/- 5 volts from a single ended 10 volt input supply. That will not happen. You'll need probably at least 16 volts applied to the input for this to happen.
Then, when you have enough supply voltage, the 0 volt (mid-rail) output from the regulators won't be able to cope with anything more than maybe 5 to 10 mA load imbalance on the regulated outputs and one of the outputs (either + or -) will collapse.
You are also using ridiculously low values of input and output capacitors.
I'd consider using an inverting configurated buck converter to generate the negative supply rail like this: -

Picture from this post.
There is also this device (picture from the device data sheet): -