For us, craddle cap was just scales on the scalp, not red, just scaly. It was very stuck to his scalp and not really in his hair. Yours could possibly be dry skin from over washing??
At 5 weeks old, we bathed our son every 2-3 days, not every other day. For the craddle cap, we put baby oil on his head then brushed with his soft baby brush then washed his hair. He had it for months but the baby oil finally worked. It might look icky but it's not harmful and very normal.