CONTAMINATED FUEL, from the symptoms described. Could be condensation (water), or ethanol junk.
I'd drain float bowl (li'l ol' 3 mm hex socket screw at bottom of carb, and get some righteous fuel into the carb and give it a try (maybe, jump from a car battery, since your motorcycle battery is run down).
How do you get righteous fuel into the carb? You can disconnect the fuel line at the petcock, and connect a funnel to it, and pour enough gasoline in to fill the float bowl. Or, you can drain your fuel tank and fill with fresh, righteous gas (drain from the RESERVE petcock position (lower part of fuel tank affected); you'll have to apply some vacuum to the petcock to open it). Drain it as much as you can, replacing the old fuel with known quality gasoline.
Still won't start? Sometimes, STARTING FLUID will persuade a balky engine to start; then, it will run off its own fuel supply.
Finally, there's the old (but laborious) solution of disassembling and cleaning the carburetor.
Combustible fue mixturel/compression/spark ought to get it, in time.