HeXadragon86, the 'full version' you're refering to is just a copy of the shareware mIRC that is offered to you for download at the end on the registration process. There is no need at all to actually download that copy as it is exactly the same as all copies you can download right here at the mIRC website.
With the registration code you'll recieve by e-mail from Khaled you can go to the registration dialog in mIRC and register the copy of mIRC you use on your PC to your name. In mIRC simply type /registration to see this dialog.
Apart from having a registered copy set to your name there is no functional difference between that copy of mIRC and a not registered copy.
Succes!! and have fun on IRC!