Also I'm wondering about this, if you can change your race, does that also mess with all of your stats that you currently have, or does it not affect them like it does when creating a brand new charatcter? (in other words do the basic stats you started with change to the new race you've selected instead).

I suppose if you have a very feminine/masculine name it would be a bit strange to switch from male to female or vise versa without the name change. But I've kinda always seen the potion as like, edit the appearance of the gender you already have. But that's cuz I personally wouldn't change a character that I've started as one gender into another half way through I guess.