Looking at the overall setup of the Rear Engine Snapper, the fuel tank height is above the carburetor height. If that is how it actually setup, there is no need for a fuel pump. Gravity feed is all that's needed. That takes us back to the carburetor.
Here’s the cylinder head after blown head gasket. not seeing metal damage image
I had to use the parts engine head from orginal head.
Replacement engines head damaged under rocker arm mount. I assume it’s trashed image
Aditionaly I do smell a bit of fuel in the oil. Thanks for advising.
edit as far as the fuel pump goe's I previously mentioned I don't even know where it's located. I belive MParr is correct about the gravity feed fuel.
I did turn the key switch to ignition turning engine over this is when I observed the fuel shooting straight up real high.