Hey Brian!
Good to see you have your bike up and running, after going through the carbs, petcock and such.
A couple of thoughts for ya:
1) I've been hearing from a lot of fellow riders lately that ethanol blended gasoline can cause several issues with bikes. One of those is erosion/corrosion of rubber parts and such, and as you noted that the previous owner wasn't riding it a lot, it might be a good possibility that this is why your float needles and petcock were having issues/falling apart. You've obviously resolved the issues since the bike is running again, but if you let it sit for any extended length of time, it's probably a good idea to drain the carbs, seeing that ethanol blends are now mandated in many parts of the country.
2) Before you go too crazy with experimenting with different jets, check out Shoodaben Engineering's jet kits. These are the bees knees as far as Connies are concerned. Steve In Sunny Florida has been perfecting these over the years, and his latest kits have MANY happy Connie owners with ear to ear grins.
http://sites.google.com/site/shoodabenengineering/3) The stock windscreen is noted for excessive noise, especially if you are a taller rider. Thankfully, there are several aftermarket solutions that work much better.
I use a Cee Bailey myself, with the NACA vent.
http://www.ceebaileys.com/kawasaki/concoursws.html.
Judging from your height, you may want the tallest one they make, if you choose to go this route.
Others use Rifle windscreens, and other brands. There used to be some tech pages linked from the old forum, but I'm not seeing the link on the new forum. I'm sure someone will jump in with the appropriate link shortly.
The other option is to go with a shorty, if you aren't a fan of tall windscreens. Again, I'm sure someone will jump in with the appropriate link.
A quick note. A lot of us order a lot of our Connie stuff through Murphs Kits.
http://www.murphskits.com/catalog/Murph is a fellow Connie rider, and has been good to us over the years.
Again, enjoy your new ride!