Ranma, we don't have any rule about not being related to the old character. We do have a rule that you can't have your old characters stuff, but that's about it. It also may be considered poor RP, in many cases, to relate your new char to your old char, but that's very different from it not being allowed. And also, it's not always the case. Let's remember that Victor von Ismay is now on his third Ismay character, and I haven't felt that any of his were poor RP, and nor has he broken any rules. He simply seems to like the family he founded, and keeps coming back to it in new and interesting ways.
"May the Grace of Ara go with you, and His Vengeance be wrought upon your enemies."
And another question, I ordered some weapons and items before I killed myself (not knowing I was going to kill myself), so when I make a new character, if the faction(s) that I ordered from gave me the weapons and items that I ordered with my previous character, would I get banned?
''If you're good at something, never do it for free'' -The Joker