New here with carb / stalling issues

Beautiful car, Is the fuel in it from 2008? Has it had any conditioner added to the fuel prior to parking it in 08?
The car gets a steady mix of Sunoco Standard 110 (the valves are original so I need some lead) and Pure Gas (no ethenol) on a 1:1 mix. Summit Racing actually clued me in on that solution when the Real Lead additive out of Texas was pulled by the EPA. Sunoco is 110 octane and the Pure Gas @ 90 octane. I use Stabil in the containers if the fuel is going to sit. Here you can't pump race fuel directly into a vehicle from a pump (no problem since the Dart is unable to run).