Go in to draw something frees settings and click account
Chat with our AI personalities
I think to have a profile pic on draw Something you need to be logged in on a Facebook account. I'm pretty sure the pic is your profile pic
No
It will cost 800 Microsoft points and you can change by going into "my profile" on the dashboard then select "edit profile" then look for edit/change gamertag. Also you will have to log off and then back on for it to change.
you cannot do it
Sometimes there is a shop or a person who can change your skin color. If not you can probably change it in your profile.