Fuel Soaked Balsa
If you cant find K2R, try filling the area affected with kitty litter and let is set for awhile. It will absorb most of the oil. Heating the area with your heat gun will also speed up the oil absorbing ability. After you have gotten all the oil out you can, try coating the area with any alphatic resin glue before reattaching the covering. Just put on as thin a coat as possible (spread it out with your fingers), let it dry, then recover.