You don't have the right to avoid bans. As an oper I can only say that it is grossly annoying to have someone do this because it ultimately results in the banning of innocent people.

k:line is a local server ban. I am unsure of what g:line is as my network doesn't have it but I can at this stage assume it is the same as an akill (global k:line).

k:lines, akills and g:lines last as long as the person who set them wants them there. You were probably banned for the third time because the global was still in place. And if you were advertising then I have no sympathy for you because no network anywhere in the world allows it.