Please confirm you dont need PFC?....the analysis will differ if you do.
AYK, you dont have PFC at the moment.
PFC is a regulatory thing....i think its EN61000-3-2 (?) "Harmonics on the mains" (?)
If you are doing high volume, then your country may object to no PFC SMPS being connected up by all your customers...since it causes high apparent power draw. (lots of reactive current sloshing about in the elec grid wires, and overheating the transformers etc)
The flyback is slightly easier to design if you do use PFC....because PFC gives you a constant 390VDC input rail, no matter what is the mains voltage.
Also, you can have feedback resistors off both rails so as to balance out the rails better. (Going off the subject of PFC now)
Ie, split the feedback current, half from each rail.
Also, please confirm your VAC input, eg 100-265VAC, or 100-130VAC etc.
Also, is the load a class D amp?...or a Class AB which would be much higher average power?
Be sure to sandwich wind the txformer.....best probably 2 primary layers sandwiching the two secondaries....but you coudl do PSPSP for even better coupling but probably not needed.
Make each coil a full layer on the bobbin, for better coupling.
Remember skin effect so use Litz or >1 strand in each coil.
Make sure inner coil is not too near the centre leg gap....so "pack out" the bobbin if necessary, if you have a gap >0.5mm, approx....or use Litz.
You can "pack out" a bobbin just a bit with fishing line , and then tape wound over it.....it makes a nice flat "bed" for the next coil to lie on top of....and gets the inner coil away from the gap
If you use Triple insulated wire for pri or sec, then you wont need margin tape, which is fiddley.
Eg Furukawa TEX-ELZ wire.
Once you decide whether you are having PFC or not...then , possibly could start talking pri/sec turns ratios, and pri and sec peak and rms currents, at lowest vac input....and looking at the ripple current in the input capacitor.