Patch from the inside if you can get to it then with the outside do the best match you can with the EverCoat Gel Coat repair kit.
Use epoxy resin and woven cloth. Do not use polyester resin and chopped mat.
Couple things.
1. Never trust someone that "rebuilt" the carbs. Verify for yourself and make damn sure everything is genuine Mikuni.
2. You better see if your accelerator pump inlet line is supposed to have a restrictor orifice.
3. Use the correct hose.
4. Hose #2 is the fuel inlet form the fuel...
The pulse line is just that, it pulses with the intake pulses. It does not pull vacuum or fuel. THe fuel pump diaphragm pulses and pulls fuel through the tow check valves. If it won't pull fuel then the diaphragm, check valves or an air leak in the line to the tank is the cause.
I too am against the trouble of gelcoating, buff and polish.
The impeller probably can't be saved with that much grinder damage, wow someone was a hack.
The head has been off already indicated by the head bolt paint missing.
The aftermarket inline fuel filter could have been the cause of the...
Well the oil tank is only about 12" above the pump so with pressure being 2.31' per psi you would only need 0.5 psi holding from the check valves from draining the tank into the crankcase. Now if the check valve on the tank vent doesn't work then you could build enough tank pressure to overcome...