Easyshare is no longer distributed by kodak. Majorgeeks has an archived version of EasyShare that MIGHT work if you install it with compatibility mode. Links not posting, google “majorgeeks easyshare 8.3.0”
Stupid question, but have you cleaned the lens lately? And I mean with microfiber chamois, not a shirt. The only other thought at the moment is, if it’s full manual and still trying to focus, the sensor might be loose inside the camera body.
The only alternative to a CMOS battery would be a capacitor serving the same function. https://www.youtube.com/watch?v=o4kEeJx6... is only good for the external screw locations, The Easyshare C813’s is on the sensor side of the main board. http://guide-images.ifixit.net/igi/SVOdXYkuhqaDpJ3V.h...