All right, an update finally. I wish I had a good long, empty Saturday that I could devote to getting my bike going, but unfortunately that never happens. So this process is slow and agonizingly slow.
I spoke with a local bike shop technician and he also recommend checking the plug cap connections. So I pulled both caps, snipped the wire an 1/8 inch or so and then screwed the caps back on. Reinserted the plugs and I got spark on both! Put the plugs back into the engine and with fingers crossed, hit the start button. No dice though, it turned 5 times and then slowly turned a couple more before it stopped. Couple of things to note for you while it was turning over, the headlight did not dim and I heard no combustion.
I do not think the gas is bad but I am going to drain the tank and put in some fresh gas just in case. How long does it usually take for gas to go bad anyways? I am also going to open up the carbs and see what I can see in there. Make sure a float isn't bad or something along those lines. I will also then know if it is clean and such.
I looked for some replacement parts online and with the local bike shop. Sticker shock is an understatement for what I felt. A new coil would cost $150, a starter would be $450. I bought this bike for $350 so I would prefer not to put a lot of money into it. If I find it requires new 'major' parts, this thread may turn into a listing of parts for an 81 Kawasaki!
Thanks again for everyone's 2 cents and help. I really appreciate it!