Here's the news story.
http://www.ksla.com/story/30329238/r...after-33-years
and an item about the story.
http://jalopnik.com/man-reunited-wit...ars-1738379908
If the lady had an accident, I wonder how the police did not know that the bike was not properly licensed/registered/insured... unless the laws in GA. would let one ride a bike with that displacement (150cc) without plates or if the police did not check anything like that at the time and just let that slide by. Or maybe they did but just didn't tell you the whole story.
Getting the lady to pay tow & impound fees I'm guessing would be more trouble than what it was worth. If she could convince a judge with a claim that she had bought the bike in good faith then she might skirt the possession of stolen property bit. And after all, it is your property and the tow & impound only care about getting paid for the tow and storage.
Getting a replacement title really shouldn't be a problem. You certainly should be able to prove you are who you say you are and can provide documentation for that. There was no transfer of title so it was and still is legally your bike even though you were not in physical possession of it for about 3 years.
Did you have it insured when it was stolen? I'm guessing not, but that might have been an avenue to seek reimbursement. Nice to think you might be able get the impound fees repaid, but the effort to get it may cost more in time and $$$. IMO, be glad you got the bike back like you did.
Anyway, found this for you:
http://www.dmv.org/sc-south-carolina...lost-title.php
Other owners of your kind of bike might be better able to help you out with your headlight issue, but I'll go take a look anyway.
BTW I didn't think your earlier post was too long.... you should see some of mine.