Well there are two types of bans. First one is when you break YouTube's 3 strikes, very common. In that case youtube only bans that channel, but you still have access to your YouTube username and password. Even if you get banned, you can make a new channel or several many channels, option is under your profile on top left.
Second type of ban is something that happens to mostly old youtube channels. Without any explanation your access to your YouTube account is disabled. It means that you can't even make more channels.
YouTube is not known to go after every youtube channel from your ip address. Facebook is known to go after every account from your ipaddress if you happen to cheat in a facebook game.