You are going to have a red toon, just like 90% of the shard. It's the curse of classic ruleset shards.
2 ideas pertaining to reds, kind of based around the same central idea.
Your account is not made up of characters whose actions have nothing to do with each other. aka. "lol let me log on my blue real quick."
Red Idea 1
Going red on any character on an account will cause all characters to be red.
Because the punishment of being red is negated easily when you can just make another character when you don't feel like dealing with the punishments.
Red Idea 2
Going red on any character will remove Paladin status from any character on the account.
Aside from the obvious contradiction of the two character types, you shouldn't be able to have one character that gets the bonuses of a Paladin for helping newbs and another character to PK newbs in your spare time. If idea 1 was implemented this would be a non issue, since paladin can't be red. But it stands alone as it's own idea as well.
The obvious problem here is multiple accounts, but could be addressed to some degree via IP. You could have a system that linked "red status" to an IP instead of an account, where upon login the IP is checked and red status updated based on IP. Foolproof? No. Gets the job done reasonably well off the top of my head? Yep.