Yes i agree with earlier suggestions...
You need to consult a dermatologist for the itchy palm.
I am not sure if i understand you right about your right shoulder. If liting your shoulder forwards is painful with your pain being in the front of the shoulder, icing could help.
Both your problems could be be of different origin.
Next Steps
consult a dermatologist...
Health Tips
avoid lifting and icing (wrapped in cloth) for 15 mins, 3 times per day could help.
please do consult a physiotherapist also...