This does sound pretty bad. This is why one is advised to make a special FAT32 partition to share files between the 2 OSes (which I see you have, so why did you need this program at all, much less to transfer files?).
And naturally, one is generally encouraged to only attempt the transfer of reasonably appropriate files (you tried to copy the Wine binary, of all things, to your Windows partition? or just the zip? No, even that isn't 48MB. Unless you tried to copy the entire /usr/lib/wine directory, which contains symlinks, which Windows cannot read, even if it could read the files and understand the file formats, which it also can't... oh
dear).
What the heck were you trying to accomplish?
In any case, when I had the occasional necessity to check my Linux partition layout, or check the contents of a configuration file so I could post the contents to a forum, I used
Explore2fs, which never gave me any problems for the few files I might have exported (very few), and certainly allowed me to open files in /etc in notepad, which was usually all I needed it for, in order to view or copy and paste the relevant text. All my major file accessiblity needs were met by the FAT32 partition which was readable and writeable under both Windows and Linux, so I saved downloaded files and the like there, for that very reason.
What I would suggest is similar to
misterfibble's idea, but I'd say just get a real LiveCD distro like Knoppix, Mandrake Move, MEPIS, Morphix, PCLinuxOS, or Slax, (SLAX will obviously be most familiar to you) and boot from that. Do try fsck-ing the bad partition, but if that doesn't help, you should hopefully be able to mount the partition and see if there's anything you need to try to back up from it to the shared partition before you reformat and reinstall Slackware.
What were you thinking? And I can't even find this program in a Google search.... where did you get it from?