Reference design suggestion

Based on your requirements and power level, the UCC28910 is probably the most suitable option. This device integrates the high voltage power MOSFET inside the IC package, so this simplifies the design, saves board space and cost.
So the refernce design PMP4447 is probably a good starting point. You can add a linear regulator to the 12 V output to generate the 2.2 V rail (assuming they share the same output GND) - since the current is low, the loss should be ok.
If you want to generate the 2.2 V rail more efficiently, you could add another secondary winding to the transformer, with a linear reg to get good tight output voltage on the 2.2 V rail. Or you could tap the 12 V secondary winding approx. 1/3 along to get approx. 4 V to feed the 2.2 V linear reg.
Thanks,Bernard

PF is typically not measured or reported for low power non-PFC designs.
If the input power < 75 W, there is no requirement for PFC or PF improvement.
For a bulk cap size of approx. 2 uF/W (for PMP4447 6 W output, there is 13.6 uF of bulk cap), typical PF will be in the range of 0.6-0.7.
The PF will depend on the bulk cap size vs power level, and on any series impedance which can force a wider conduction angle for the diode bridge. PF can be increased slightly by adding a series NTC inrush-limiting resistor, and adding large DM filter choke in series with the input bridge. But these all decrease the eff.
At your power level (3.2 W) PFC is not required. Adding series NTC and choke to widen the conduction angle will likely be counter-productive, since the extra loss in these components will far out-weigh any benefit from a modest PF increase.