Eew, gray fuel hoses!
Cavitation problem: being that old, the pump may just need to be resealed. Pull the pump and have a look-see at the impeller and wear ring, then reseal and reassemble if the ring and impeller are okay.
Don't know wiring on that machine, so can't help there, but the fuel lines that are not connected may be related to the reserve tank switch... if you switch to reserve does it work, or does it run out of fuel?
Picture #2 shows a vent line that should be venting out under the seat, not into the bilge.
Lastly, the gray fuel lines that you have there are GOING to disintegrate, from the inside out. If you want to save yourself rebuilding carbs and replacing filters, replace all of that gray hose NOW.