Hi again, Tony,
One other little thing that got me with the GIII battery thing - one of the battery contacts, the little metal bump, has to be bright, shiny clean. No oxidation at all. It also can't be pushed down below the level of the surrounding insulator. Sometimes, with age, the springiness of the contact goes away and it it doesn't make a good connection. I've sort of scraped mine clean with a little dental pick. Also, crud gets around it, preventing it from popping up and making good contact with the battery or adapter. It doesn't take much.
Mike