A '78 would not have an auto chain oiler. Judging from the photos, my bet would be the cover gasket, which is a cheap and easy fix.
The most common broken chain induced cracked case repairs I've seen involve RTV silicone or JB Weld, both of which can last a long time with proper surface prep, or not very long at all if someone just smeared a big glob of RTV over the wound without preparing the surface.