Well I can't help you with the jet kit stuff, but I can tell you the signs of a bad coil.
A bad coil would mean that you're not getting, or not getting consistent spark to 2 cylinders.
Therefore, you can check this by doing a couple of things. Start the bike and run it for a couple of minutes, then turn it off and disassemble for the following:
1. Check the spark at the plugs.
Take the plugs out, one at a time, attach them to the wires (outside of the engine) and then ground them to the engine case ( not next to the newly empty spark plug hole, preferrably) And watch for spark. It should be a nice fat white/blue spark. Check each of the plugs. This proceedure is described in your owner's manual, and is much easier with a helper.
If you're not sure if the plugs are sparking with nice fat healthy spark, compare them to the other 3 (mental note) .
1 and 4 share a coil, as do 2 &3 .
If you notice only one plug seems to be acting up, it could be a corroded plug wire. Take the boot off, cut about 1/4 inch off the end of the wire, put the boot and plug back on and see if that makes a difference. If it doesn't, consider replacing your plug wires first, before you replace the coil. I hear you can get plug wire by the foot at the dealer, and likely other places too.
2. Check the spark plugs.
When you take the plugs out, check to see their condition, are they wet? That would mean that gas was getting into the cylinders, but not being lit off. That would indicate a spark problem.
Spark plugs are often a good indicator of what your engine is doing.
If it's too lean in there, the plugs will show it (of course I don't remember what this looks like, cos it's one condition I've -never- had an engine suffer)
Good spark and fuel mixture, the plug will look used, but not coated with anything
Too rich - you'll see carbon coating the spark plug end
No spark - the plug will be wet.
Of course collision from something rolling around in the cylinder will be really obvious, but I doubt that's your problem.
3. Another indicator of whether you're sparking on all 4, is what's the temp of the exhaust? do all 4 of the headers feel like they're about the same temp after a couple minutes of running? If not, which ones are not as warm will point to you which cylinders have plugs that you need to take a peek at.
If I've missed anything, or gotten any of this backwards, I'm sure someone will jump in.