AS above, you need to check spark, but there are some pitfalls
1.....Checking spark using the factory (radio) coil wire or plug wires can seem like the spark is poor, as radio plug wires just make the spark look "ill."
2....The opposite can happen.......you can have a bad coil wire, and check the spark by some other method, plug in the old coil wire.......and "no" spark. So be aware
3....You must understand the difference between (a properly working) system, when cranking the engine "using the key" against jumpering the starter solenoid. Sometimes you can have a problem and mask it by jumpering the solenoid. When using the key, the ign switch supplies hotter voltage to the coil, making a hot spark. Jumpering the solenoid does not, and you may decide the spark is weak
If you don't have one, or can't build one from a plug, get yourself a parts store spark tester. Lisle makes one, that is adjustable, and not expensive.
Mine is this one: They are 8.50 at O'Reallys
"Rig" this tester so you can see it through the hood gap, and crank the engine using the key. "Rig" it using some solid wire at first, right out of the coil. You should get a nice blue, rythmic spark, at least 3/8" long and typically 1/2"
If this is OK, test continuity of the plug wires and coil wire. "Less than" 1000 ohms per foot of wire used to be the target standard. Good wires are usually much less
Inspect the cap and rotor, for moisture, grease, dirt, wear, damage. Look the rotor over carefully for spark "punch through."
Pull the plugs and inspect them, for oil / fuel fouling.
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SUSPECT fuel. Maybe the float stuck and the carb is severely flooding. Look down the carb throat and open the choke. Crank the engine and look for fuel draining over into the bores.
^^As above inspect the plugs for fuel wet or dry^^ Try priming some known fresh fuel down the carb throats ANY engine should fire, pop, bark, do "something" with a tablespoon or two of fuel "in there."