If your fuel pump pulse hose was disconnected from the crankcase nipple, the fuel pump wouldn't have pumped fuel. It it was leaking, you would've had an air leak into the crankcase which could cause a lean condition and a possible runaway at idle on the trailer.
A leak (not totally disconnected) in the pulse line would also cause the fuel pump to pump less fuel than it would otherwise.
You should be able to repaint your carbs with engine spray paint, just mask off/plug all areas where paint shouldn't enter. Paint on the throttle springs and shafts might cause them to stick, so be sparing around those areas.
Check the fuel chamber diaphragm metering spring color to confirm spring weight, or better, the pressure needed to make the metering needle/seat pop-off. If higher than spec that could cause hard-starting issues. If pop-off is too low(metering spring tension is too little), and the bottom throttle range will be too rich and flooding problems might result. Four metering lever springs are available: Black spring is 80gram, gold spring is 110gram, there are two silver springs, 65gram and 95gram, the 95gram is wound in reverse of the other three. Your carb probably should have the 95gram spring in it if your carb has the accelerator pump on it, otherwise the 80gram spring is probably the factory spec for the desired pop-off. Confirm the spring your ski is supposed to have and go with that one, measure the pop-off to confirm all is well before buttoning up the carbs, inlet seat diameter also impacts pop-off, so make sure that one's the correct size as well.
Most carb kits come with new metering seat o-rings, so replace them. I always replace the needle/seat set unless they've been changed recently of if the needle is groved or torn/damaged in some way. The rubber needle tips are impregnated with a lubricant to help them operate consistently, and the lubricant tends to wear off over time.
Pop-off is measured while the metering diaphragm is removed, and the metering needle needs to be wet with something to lubricate it (otherwise pop-off measurement may be inconsistent), such as WD-40 or other light oil.