The contents of your post has nothing to do with the title. That being the case, the only answer that can be given is that yes, you can connect to IRC using mIRC, but you should know that already with over 200 posts.
For help with your shell contact your shell provider For help with eggdrops visit www.egghelp.org
as was previously stated mirc and eggdrops are a bit different, however some of us are pretty up on eggdrop/shell. Try posting in the general section include what you want and we may just be able to help.