So when I thought the oil pump was bad, I took the inlet line off. I put it back on when I realized the pump was fine, and have thus learned that I need to bleed the lines. Do I need to remove the carb (again?, ugh) to get to the bleed screw?
I was able to fix the fuel tank neck by "plastic welding" it with a soldering iron, I used a zip tie to help fill. Worked well.
Carbs are rebuilt and tuned properly, fuel lines are replaced, fuel valve is replaced, broke the large plastic nut when reinstalling the fuel valve, a replacement is on its way. Poured a teaspoon of premix into the engine installed new spark plugs, and the engine started immediately (then died immediately of course) so that's promising.
I've got the hose adapter to run the water through the engine, so once I figure out what I need to do to get the oil lines bled properly, I"ll start it up for real. The compression is the only question now.