Those 4 regiments made up 20% of the cavalry regiments and 8% of the infantry regiments. I hardly think that is a handful. And yes, with rare exceptions the officers were white. I fail to see your point in that. Are you suggesting that the confederate army had black officers?
Would a black man wishing to enlist in the army have been accepted?
Well, yes. The regiments were made entirely of black enlisted and NCOs. They weren't drafted, you know.