Oh yeah. Yes to all of your questions.
Your cardio is making your body scream out for more instant fuel (aka 'carbs'.
I too was addicted to cardio. I did HIIT, but still, I would 'pride' myself on going harder, faster, etc, but in the long run, I really wasn't burning many more calories than if I had walked briskly the entire time and then, like you, my body was craving carb-type foods ALL the time.
Just give it a go. Be strict in your Primal eating and you will see it happen, maybe in a few days (maybe more).
I thought I would always be addicted to sugar, but after nearly 30 days primal, I was face-to-face with a mint Oreo cookie and I allowed myself to have one as a treat this last weekend (before, I would probably have eaten the entire bag, had the entire church body not been there watching me!).
What did it for me, to start, was leaving the house with a couple of small dark chocolate squares for those times when I thought I NEEDED a sweet. Even a few cashews, almonds, walnuts, pecans or pistachio nuts in a baggie helped with any 'snacking' tendencies, even if I was only craving sweets.
30 days later, today, and I looked at the bag of dark chocolates and didn't think twice about grabbing a few for an 'emergency' stash in my purse like I did several weeks ago. I know now that I just don't 'crave' them anymore! (YAY! - I thought I was doomed!)
Keep at it!