Thanks for posting your query.
with the available described symptoms, there appears to be high possibility of formation of purpura (elevated blood collection coming out from capillaries) or cold induced skin allergies.
You should consult with internal medicine specialist / general surgeon
and should go for thorough clinical examination.
Palpation of peripheral artery pulsation is mandatory.
Decreased blood supply to extremities may cause shiny skin with loss of hairs.
You should also go for clotting time, bleeding time
, complete blood count
, and prothrombin time
Treatment depends on exact diagnosis.
dr. Mayank Bhargava