Hey! This is a cracked network, so you will have to use a cracked launcher with you old account on it.
Hey! If you are talking about regarding the factions you can create on kitmap and when you change you're ign? I think I know what you are talking about, it is currently a bug.
No. Since it is a cracked network you will lose everything with a name change. You have to either re-change your name to the old one or use a cracked launcher with the old name.
If you change your ign and try to log into Cold it will count your new IGN as a new account since it's cracked, which means someone has already registered using your name. You'll have to download a cracked launcher or go into your launcher profiles in .minecraft and change your displayName back to your old one whenever you want to play on Cold, and change it back when you want to play on a premium server.