So, i got banned on this account for "linked account" if i buy a new one will i get insta banned again?

Hey, so my premium account (xXSwankyBeastXx) https://www.bf4db.com/player/958397775 was banned by you because it was "linked" to my old account (tldg123)  https://bf4db.com/player/958397775 because back in the day it was cheaper for me to get bf4 premium with game then without i rebought the game. my friend got my old one because he wanted to try the game out. I know he is a cheater because he has a lot of VAC bans on steam but I didnt know he would cheat on my old account! The reason I bought bf4 premium was because non premium servers are filled with hackers! If you need any more info pls tell me! I really mis playing operation metro :(.

EDIT: I have a question about my ban appeal. I didnt know giving away an account was illegal. I have never cheated in bf4 and never will. So because he used the same username wich he couldnt change because i had forgotten the sevurity question i have a perma ban? Im not even cheating.