Thank you for your response. Sorry about the typo. It's a 2003 kodiak 4x4. I will try your recommendation.

Battery good, connection is good, iv had that happen with a bad relay(soloenoid), the one with the 30A fuse, sometimes they just get old and stick, you might tap it gently with a hammer and see if it goes, or even the starter gets brush dust down in it and won't go , may try tapping that with a hammer , only after you make sure your battery is good. Mine was doing that when I would first try to start it, I knew I had put the wrong size battery cable on it when I was redoing the electrics, I used a lawn tractor cable thought sure it would be enough even though it was physically smaller, replaced it with OEM cable and never had another problem. My long winded point is check your battery cables also. Oh one other thing the 2093 Kodaks will probably be lithium crystal powered.

You probably have a bad connection somewhere, or a dud battery. The bad connection could be on the power wires/cables, or on an earth wire/cable. I think we should get that fixed first, then check the no start. When you push the button and the buzzing happens, does the dash or warning lights go out ? And, if you turn the headlights on and push the button, does the headlight go dull ? Can you tell us about the circumstances.. did it have the buzzing before the carb, or any work, has it been parked up or ridden regularly, have you had it long ? Anything else you can think of to tell us about it's history ?

Fuel filter is built into the petcock part# 49019, this must be an add on after the petcock somewhere in the fuel line

I have seen those LCD gauges get weak and fade over time, but would check voltage as Mech suggested, and also ground could be weak.

I'd check that it was getting full voltage at the power pins, with the gauge connected so there was the usual working load on the connection. If you just check the voltage with the plug disconnected, and there is a bad connection, it can show 12v, but then drop right down(or a little down), as soon as the load comes on. There are probably two power supplies to that gauge, and perhaps more than one earth. I'd check them all..

Have you seen that there is a service manual section in here ? Top right of the home page there's a button that goes to the manuals page, scroll down a little and choose your make from on the right..