First off, congratulations! I bought my 2002 almost a year ago and its the best vehicle I've ever owned.
The first thing you should really do is the power valve screws
threadlocker-on-power-valve-screws-pics-t304263.html
Check all your fluids and replace any you're not sure of. change the fuel filter and check the air filter. all the obvious stuff.
The biggest problems with mine are suspension related, but that's because I live in Canada where the roads eat through suspension parts faster than a fat kid eats through a bag of doritos.
There's also a recall for the front strut tower, get that checked out if you haven't yet.
If you aren't someone who likes messing with small electric parts, the easiest thing would be to replace that drivers switch pack.
Active cruise was an option for 2002, mine doesn't have it.
I leave the HVAC unit on when I shut the car all the time and haven't had a problem, but what QX4ME said seems like a reasonable explanation.
Good luck!
-Pat