1-Change your name - Sure, why not? So long as there is a limit as to how often you can change it. And definitely allow both names to change, not just forename/surname!
2-Change server - Seems like it has to happen eventually, surely?
3-Change Race - No thankyou. I don't like the idea of people changing race. It's not realistic on any level and ruins any sense of immersion. I really hope this doesn't happen.

Free options

1-Barber shop ( Can change hairstyle/color in town with gils) - Sure.
2-Calendar in game to note events for LS - I don't mind.
3-pets that walk with you can't attack and can't be attacked just for fun - I don't mind so long as it's not intrusive and/or annoying. I would prefer the pets have some purpose though. The best idea for me would be for sheepdogs to be used by shepherds, birds to be used by fishermen, dragons by dragoons, etc. etc. I'm not for pets for the sake of pets unless they only appear in a moghouse.