1973 Plymouth Scamp accelerating/braking issues, please help

Hi Guys,
Wondering if you guys can help with the issue I'm having.. I'm having trouble dialing the issue down but I'll shoot out the symptoms and let me know what you think?

Whenever I start my scamp, it usually fires right up with two pumps and a start, no problem. When I take it for a cruise it runs strong until I punch the accelerator too much too hard and it stalls on me. I can usually fires it right up again, but soon after it starts dying while idling, and can hardly make it home. On a similar but separate note, when approaching a stop sign and stopping too hard too soon, the car shuts off again.. again, making it impossible to go anywhere.

Wondering if you guys can point me in the right direction... :prayer: