The itchy and dry palms and soles can be part of hypothyroidism
. Your thyroid supplements will reduce it. The pricking sensation can be due to low vit B12 levels in the body. When a person has hypothyroidism, he/she has high chances of having low B12 levels and injectable supplements for a few weeks will relieve the person from pin-prick sensations over any part of the body.
So check for that and get back to me. Take care.