I would say it's worth recapping. Even if you don't have much prior experience, it's something you can learn with a little patience. The materials won't be too much either. Trag on these forums sells capacitor kits and Uniserver does excellent work recapping if you don't feel comfortable doing the repair.

There is an excellent recapping guide here:

http://www.classicmac.net/reference/caps/

Looking at your pic of the motherboard again, there seems to be an area where the caps have leaked already, so I would strongly suspect that it's the caps. If you don't want to recap yet, I would suggest grabbing an old toothbrush and some rubbing alcohol (as pure as you can find). You should be able to see the areas on the motherboard where the caps have leaked; they will have lost their shine and have a Coke-like substance on them. Clean all of these areas with your alcohol dipped toothbrush carefully, and hopefully it'll boot up. Recapping is the only long-term solution, however.