M.L.
YES, both are normal!!!
I never had carpal tunnel, but with my first child, I had it so bad I was in severe pain. I couldn't even lift, bathe, clothe and barely feed my baby or dress myself without assistance until he was about 3 or 4 weeks old because my hands/wrists were so disabled from the pain.
I almost had the surgery to relieve the tension, but as the water retention went down, my carpel tunnel went away. (I had TONS of swelling my first pregnancy... even my face looked like a watermelon).