Thank you for asking at Ehealth forum!
I read your question and I understand your concern.
Its not related to carpal tunnel syndrome. It could be just chillblain or due to autoimmune disease.
I would suggest you to have ANA to sort out the underlying problem.
I hope it helps. Stay in touch with your healthcare provider for further guidance as our answers are just for education and counselling purposes and cannot be an alternative to actual visit to a doctor.
Take care
Khan