How to change the spore name or deleting it, so it doesnt show under my EA

You can no longer delete Spore accounts (persona) through managing screen names.

But you can create a new persona with a new username. You can have up to five slots. When you've created a new persona, set it as your default from the link above and then log out, log back in and you will now be logged in with that new persona.

If you wish to delete a Spore persona off EA's records, you'll need to contact EA Live Chat.

Let them know which persona you'd like them to delete. But be warned that this doesn't remove the persona from the list and will break logging into it.