Several things, Billy:
First, you need a little more step-by-step, here, after a 15-year sojourn.
1. The carbs: the pilots jets may still be plugged, especially on those 'dead' cylinders. This is due to the kind of gas we enjoy
today: if there was any old gas at all in the tank when you added new gas, it mixed with the new and made it gummy and inert. This immediately plugs the pilot jets, again, after cleaning.
2. The next thing this gas does: it gums up the little float valves where the fuel enters the float bowls. You will now find, if you look closely and carefully, rough-feeling ridges on these tiny valves. Scrape all 4 of these ridges shiny smooth, gently, with a dull pocketknife or screwdriver edge. They will then move more easily in their brass seats, and the fuel in the float bowls will be deeper. This will let the idle jets be immersed in fuel, which they must be to run.
3. The spark: remove the sparkplug caps from the wires, cut off about 1/4" of spark wire. Then measure the caps between the little brass screw (on the wire end) and the female plug contact (in the plug end) with a digital ohmmeter: they must be between 7000 and 8500 ohms if they are the original Honda plug caps, and they must be within 500 ohms of each other. If not, the spark will fizzle on one of the 2 plugs on any coil because the caps are not the same resistance. To be honest, your best bet today, after 15 years, is to go to a bike shop and get a new set of plug caps in 5000 ohm resistance (it says "5k" on the caps) from NGK. They are about $5 each and go a long way toward improving the spark.
4. The condensors: after 5 years, they are not much good. The points might still be OK, but those old condensors are definitely toast, being leaky and out of spec by now. They are inexpensive from PartsNmore online.
5. Use ND sparkplugs, the X24ES-U part number, for better performance with today's fuels. You can find them online (Sparkplugs.com is one place).
6. The points gap: it should be set to the range of 0.012" to 0.016". If it is outside this range to get your timing marks set up properly, something is wrong. Always start by setting the points to 0.014", turn the whole plate to set the left points to their "F" mark, then adjust the little subplate on the right set to get to its "LF" mark. If they are off a little between the points sets so they can't reach those marks, adjust the gap a little on the left set (open to advance, close more to retard) and repeat the process for both sets.
Your old Honda coils will give you fewer bugs than anything Dyna offers today, so long as the spark wires are not dry and cracked. (You can still buy new Honda coils, too.) If you opt to use Dyna's 3 ohm high-performance, high-voltage coils (called the "Green coils" for their color), you will likely need a Resistor Pack (I offer then at $17 plus postage) to feed them and protect the bike's Run-Off switch over time, and I also suggest using 10000 ohm sparkplug caps with those coils instead of 5000 ohm caps, to extend their short spark duration a little bit. These engines benefit from a long-duration spark, which Honda's coils provide (Dynas do not).
There are other ignition options available today: I make one type called the Transistorized Ignition, which runs from the points and provides 100% backup if it should ever fail (by unplugging it and plugging the points back in). Dyna offers their all-electronic Dyna "S" model, and Pamco has one very similar to the "S" as well. Be sure the bike runs on points before trying to install one of these, as it will confuse you otherwise by introducing another layer of complexity with their adjustments.