I think it would be better if we start with some skills at higher level (like in Fallout) and others at 5-10. And perhaps skills should grow only at relatively high (25) level or with teacher's help (at 5-10).
And besides, racial skills are rather cultural difference (i mean what Khajiit or Nord learns from parents, friends etc). In such case, perhaps character should start with some of racial skills at 20-25 and some other skills at 25-30 (both chosen by player).