New to twitter, I see many people's profile pages with "message to" & "tweet to" under their profile pic. I do not see anything in settings or edit profile where I can add these tabs or buttons? Not sure if it's custom and would like to add them to my new Twitter page.
I'm pretty sure these only appear when you are viewing someone else's account, because you can't message or tweet to yourself! When someone else views your account, the "Tweet to" button will appear automatically. The "Message" button appearance depends on that person's privacy settings (it is set for public or set for followers or for none).
Here's how to see this in action: Next time you're with a friend, ask them to log into their own Twitter account. Then have them browse to your account. Are the "message to" and "tweet to" buttons there?