XF551 power supply circuit revisited

For the sake of authenticity, I am considering implementing the Atari XF551 power supply circuit on my clone board.  That way one can use the original brick power supply.   I know I said I would not consider that.  Okay shoot me.  

I am clueless on power supplies.  I plug in the cord and turn the switch on.  If I see a bad solder joint I try to fix it.  But design one.......that's way over my head.  

While I can read most of the part #s and values off the board and schematic, some of it remains a mystery.  Perhaps someone here can fill in the gaps or help redesign the circuit.

Unknown parts:
L1
D1, D2 and D3

Here's the criteria:

The board needs:

5V+  1A
12V+ 1A

The old Atari brick power supply claims to put out 9V AC 31VA.

The space used on the board is 6cm by 6cm.  I need to keep the heat generated down as much as possible and use fairly modern and easily procured parts.  It would be nice if I can use the original heat sink bar.  I think I could redesign the clone board around it, much like the original board.

Any takers?