Yes, Buddhism says that as long as faith changes, fate will change immediately. The life you just calculated is before the New Year's change. Now, if you change your mind, your fate will be rewritten immediately, and your previous life will be invalid. You should understand this truth.
As for how to change the name?
Four words: I learned four lessons!
Don't do evil, do good, and transform your destiny. This is the only way!
Amitabha!