It depends on what kind of fouling you are getting. If it is oily black fouling, you have oil getting into the combustion chamber, usually from either leaking valve guides or worn piston rings. If the fouling is a dry, sooty carbon, the mixture is too rich.
(See image in related links below)
In either case, the problem needs to be properly identified, the reason diagnosed, and the source of the problem repaired. Usually, if the mixture is off, your "Check Engine" light will be on, and a code will be stored in the computer. If the problem is caused by oil in the cylinders, you might not see the light, depending on whether or not it's bad enough to cause misfiring.
yes
Due to improper fuel-air mixtures.
Gas mixed to rich
spark plugs tend to foul because too much oil builds up around the plug and it cannot work correctly. *sometimes* you can actually remove the plug, clean it, re-gap it, and replace it in the bike.
Spark plugs don't really burn out, they foul out. A spark plug is used to ignite the fuel/air mixture squirted into the cylinder by the fuel injector. The plug sends a spark and boom small explosion. However gasoline is not 100% clean, so it leaves carbon deposits on the plug. Over time these deposits foul the plug.
My best guess would be the plugs aren't igniting the fuel and it's collecting on the plug.
You might have a blown headgasket on top
I would think that the valve cover is leaking oil. As time goes on it will start to leak on more wires. The gasket is probably dried out.
If the injectors are spraying more fuel with out anything else changing, then yes, the plugs will foul. To get more power you need more air in the engine as much as you need more fuel.
Yes, if it leaks oil through and on to the spark plugs, it will foul them and cause a missfire.
One spark plug could foul up and quit on you but I don't see all of them quiting at once.
There are a number of ways that a spark plug can foul if you are asking how basically they become coated with oil as a result of numerous ways but basically oil escaping past the intake valve somehow. A little different between two and four cycle engines but basics are the same.