The 1002.*, 1003.*, 1004.* etc are the save files. The named saves should only be in the list, not in the file name itself. So having 1002.*, 1003.* and 1004.* would mean that you have three saved games that aren't autosaves.
So it seems that the save files are there, but that you cannot find them in-game, is that correct?
So it seems that the save files are there, but that you cannot find them in-game, is that correct?