Well I've got a Dell 12V 18A DA2 like yourself. Maybe you can reverse engineer it. I looked and measured my own and comparing got some clues.
The Primary Side has 4 pins. The grounded innermost pin is the grounded 0V reference and the pin closest to the PCB edge is rectified mains voltage from the supply capacitor. This looks the same on your PCB. We have 220~230VacMains which translates to 311Vdc to 325Vdc, I didn't measure the two inner pins on my Dell supply, but they seem to be the sense pins to see the if the Mains supply is present even if the Main supply cap is fully charged What is your countries Mains Supply voltage ?
So your Q202 would suite a BRS1N80, which is an N-Ch FET 800V 1A in a TO-92 package, which is the only real high voltage component you need concern yourself with. My PCB has two types of transistors, the one is a 2N7002 which is an 60V/300mA N-C FET in a SOT23 package with SMD marking code 702. Which could be your very burned one. Just drawing out this simple circuit will reveal its function. Then the other transistor on my PCB uses is the MMBT4401 with marking code 2X.
The ZD201 Zener diode is a bit tricky as I can't quite see the colors properly. For instance, ZD202 is a 12V zener in a mini-MELF or LL-34 package. ZD201 looks like it may have been a red/purple green which is a 24V zener (RLZ24B). So that leaves R201 which looks like a 2 suffix. So 1k to 8k2 it must be supplying the base of Q201 which is normally pulled down by R202 which keeps it switched off. Looks like you could ID Q201 marking code with a toothbrush/dish washing liquid and a toothbrush dipped in water to brush off the carbon and then rinse in water to clean off the soap and look sparkly. Just dry with hairdryer. I would change the caps too if you can measure them out of circuit. You can see how the circuit failed. It looks like Q202 failed and high voltage burst through the gate and struck Q203 onward.
Looks like the 2 pin side is just an AC supply which will get rectified off the PCB and get regulated to the circuitry it powers up.
I would test it off the main PCB with a 220Vac/60W incandescent light bulb limiting the rectified mains + supply. Then the transformer has pin 5 connected to the OV of the 4 pins (inner pin) and pin 4 of the transformer goes AC straight out of the pin next to the +V rectified Mains pin (outermost pin). The last pin to resolve its function the one connected to ZD201. The Zener cathode is blocking the voltage arriving on the pin and so it means that Q201 is an NPN transistor. The MMBT4401 is thus an NPN transistor [60V 600mA MMBT4401 should be OK] as the gate of the main switching FET is probably 12V. This transistor looks like it switches off when the mains is ON and then releases the gate of Q203 to go into oscillation, with control from Q202 [it needs clean up on its base or gate to see what it is doing]. Also it means you can connect power to the two mains pins and leave the two mid pins disconnected and the circuit should oscillate under test, when you are ready. Q202 though, maybe used for voltage limiting Q203 gate with a square wave of 12V peak via a connection to the +12V ZD202 which limits the gate voltage of Q203 to 12V, which would likely make Q202 a PNP. [MMBT4403 would work OK here then]
Hope this helps after all these years. Unless you got it going in the meanwhile !