These forums here are solely for the mIRC client and are not related to any IRC network.
Now
http://edenirc.net as well as
http://onlygame.edenirc.net seem to be rather useless,
but generally you go to the network's website, and use a ban appeal form or contact their staff in another way.
But regarding the fact that mIRC immediately sent all the lines that you pasted to the editbox,
you can prevent this from happening by enabling the multi-line editbox:
Tools -> Options -> Display -> Options -> Editbox lines: Multiple / Automatic