I have always had this feeling when I have had lack of sleep, I can always tell when I wake up after three to four hours of sleep. My face and ears feel like they are burning all day until I get some sleep. I sometimes get this feeling after a hot shower. If you are having these symptoms with enough sleep I'm not sure what the problem could be. I also always have extremely cold hands, Do you have sensitive skin? It could also be related to stress or a stressful situation. It would be a good idea to see your doctor it could be something else.
I have been experiencing the same thing. All of sudden my cheeks and ears, sometimes my neck will become really red and hot. This started about a month ago. I can be alone or at work and it will happen. I wish I knew what it was, but I know I need to go to the doctor.