In that case, would you mind creating a directory named "logs" in your SQL Log Rescue installation folder?
Make sure the user you're running SLR as has the appropriate permissions to write to this folder, then close and open SLR if it was previously running. Then, go through the wizard, selecting your backups and so on, allowing it to process the logs and show you the list of log entries.
If you then look in the logs directory, you should (with a bit of luck) have a text file with a load of debugging information in it.
If you could email this to me at robert [dot] chipperfield [at] red-gate [dotcom], I'll take a look and see if I can see where things might be going wrong.