Speedbug, I have hunted in Louisiana for close to 30 years now...your brass ring thingy is a reins guide commonly found on the harness for a horse drawn wagon. It was located on the side of the harness to keep the reins in position to keep them from being tangled in the other harness fixtures...it certainly looks to be CW period. I found a site one time near Port Hudson where the Yankees burned some CS wagons and found several reins guides much like yours.
The other thing is likely some sort of seal. That type of seal was commonly used to prevent tampering with something that was locked, like a document case or strongbox. Its hard to tell from the picture, but if it appears that there were two steel or brass wires attached to the item, it is very likely a seal. I found three at a site near Lafayette (one marked Chicago, two marked SNY) where one Yankee cavalry trooper noted that they had been paid at that location. Check the Official Records to see if Illinois troops were in the area where it was found.
Nice finds!
Best regards,
Gene