It's very weird, i had a 110 Addy Pure with Crystal Hally (that i never actually botted) banned for botting, (ip ban i guess?) yet in their ToS it states that making a new account is a fresh start and they wont take in to consideration your Past offences on the same IP.

 

So how do they IP ban people who bot? It's very weird and touchy subject. And yeah Gnarly's a cunt

As long as you don't use a macro program, or break any of our other Rules, then you have no reason to fear your account being banned.   

They will unban your RS3 accounts(pre 2013 bans) for sure, but they won't unban your OSRS accounts(banned after 2013 in osrs). There are exceptions ofc..

My RS3 appeals got accepted but none of my OSRS ones did. (I got the osrs bans in 2013-2015)