It sure sounds like you are not getting enough fuel to carbs. Couple easy things to check before fuel pump is the impulse line (hose) that goes from a fitting on the crankcase to the fuel pump and creates the "pulses" that move the diaphragms in the pump. That hose needs to be perfectly leak-free so that the pulses generated are strong. Also might look at the fuel pickup tube that is inside the tank and goes to the intake side of fuel pump. After 35 years, that tube could have collapsed or the screen at the end (inside the fuel tank) could be plugged. Since finding this site a short time ago, I learned that the OEM fuel pumps for Kawasakis had an anti-siphon feature, but I replaced my original fuel pump on my 440 Invader quite some time ago with a standard dual outlet Mikuni pump, available lots of places pretty cheap, and it has worked fine. An air leak from the carb boots or the crankshaft seals could contribute to this problem. Any sled this old probably needs to have both of those things checked out, especially crank seals. Lots of help on this site if you decide to do that this summer. Be careful, if crank seals are bad you could suffer the dreaded piston seizure. Lastly, how clean are the carbs? Float height is probably O.K. since it ran well for awhile, but crud in the carbs could definitely prevent it from running right. Good luck getting the Intruder goin' again!