After losing my last computer, which ran LC (Though sub-parly, my gfx card sucked) I had to install it on my new one... However the new computer refuses to run it. I installed as an administrator (and the only profile on it is the administrator) and have it running as administrator. I tried uninstalling and deleting the directory and reinstalling and still nothing.

I am rather flustered, as I miss the game.

Here read this post might be one of the issues in this. I know it is long and has a lot of different post issues but this should help.
http://www.aeriagames.com/forums/en/viewtopic.php?t=1170810
Good luck If you need more help after trying every thing in that link post again.
Thank you