Yep the two caps most likely to leak are c810 on the main motherboard and c512 on the smaller motherboard.

Is it a scorch mark on the motherboard, or does it look like gunk leaking from the cap?

If it's a scorch mark, sounds like the cap has blown.

Either way you need to clean up the tracks on the motherboard and check/repair any damage to the tracks, then I'd replace both caps.

Given the central role of the ECU, I'd get that repaired first before looking elsewhere.

If you're lucky that will sort things out.

I had all sorts of problems with mine until I replaced the caps, including the engine management warning light flashing on and off.

If she's still not running properly, I'd check your TPS next.

The other possible culprit is a sticky ICV.

This does get pretty grubby over time and can stick.

I've seen some folks try to clean this up on the car, but for my money it's far better to take the throttle body off the car and give everything a good clean, including the small airways adjacent to the butterfly valve.

Its also easier to setup the TPS with the throttle body off the car, and at least you then know everything is good, throttle wise.

The stock AFM also has an adjustment screw which can be checked as per the book.

I don't know if the Bltz afm is the same.

And also as it's a rev 2, there is an adjustment screw on the throttle body, which you can try as a last resort.

Thought the jury is out as whether this really makes much difference to the idle, as changes here may well get compensated for elsewhere.

Paul