Good Morning...
The "Cold Burning" feeling you are describing is how I feel all over... I keep telling my doc it feels like i've been outside in the freezing cold for hours and then come in and try to warm up under hot water.
I can't say if it's the RSD spreading or not. I wish I knew...
My suggestion is....you need to get to a doctor and have it checked ASAP as the nurse may have knicked a nerve when trying to draw blood. There is also the possibility of having a small vein puncture that isn't healing properly.
Take care hun... wish I could offer more help or have more ideas for you of what's going on....
Abbie