A 0.1uF ceramic capacitor and a 10uF electrolytic capacitor in parallel, placed as close as possible to the VCC pin, are recommended for power supply decoupling.
To ensure linear operation, the input signal amplitude should be limited to less than 100mV peak-to-peak, and the VCC supply voltage should be between 5V and 15V.
The NE565N can operate up to 500kHz, but the maximum frequency of operation depends on the specific application and the quality of the external components used.
Yes, the NE565N can be used as a VCO by applying a control voltage to the VCO input pin (pin 4). The frequency of oscillation will vary with the control voltage.
The PLL filter components (R1, R2, C1, and C2) should be adjusted to achieve a loop bandwidth of around 1/10 to 1/5 of the input frequency. The optimal values will depend on the specific application and the desired trade-off between loop stability and noise rejection.