Hi Brian,
I'm relatively new here so not knowledgeable enough to address all your issues. BUT, can tell you there is a ton of answers covering each issue you have....just need to search the forums. Lots of advice, experience and pictures available.
One cylinder: pull plug and check for spark, check carb diaghram for leaks, check wires....if the computer is the issue, take it apart and check for broken caps,etc.. Check coil wires.
Cracked fairing is easy to repair. ABS plastic can be "welded" with a simple soldering iron and patience. You can order ABS plastic sheets or sticks on-line.
The 1st generation bikes are fairly easy to work on...once you get the hang of how they come apart. The engines are pretty much bullet proof as well....!
I'm sure others will chime in...and welcome to the neighborhood!