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The running prob. sounds like a fuel element, it is a tube of sorts that slides into the carb from the back side. It is orange and looks like a grommet when you remove the carb and look at the back side. take it out and blow into it and check for a pin hole. Shop above if it has a hole in it. The part is the same as the eska ! Also check the two diaphrams under the little cover where the fuel line goes into the carb.
The oil leak is a natorious thing for those motors, as they are air cooled, most people think it is OK to run them out of water, NOT TRUE, They still have a water pump that cools the lower unit and the lower part of the engine block. The pump impeller and o-rings will melt and rot faster do to excess heat. Save the guess work and get a lower unit gasket/ o-ring kit and do the whole thing, to include the water pump. If I remember correctly they sell a water pump kit that has all the thing you need.