So, great news! After reading both your comments, and taking the advice of @DeKay of taking the files out of my Documents folder and restarting the game, I realized that my game really didn't know where to pull the game saves from. So I took my EA folder out of my external hard drive and placed it back on my computer, and…
My save game files are still all there, but when I launch the game, the floppy disc isn't there. So I did your other suggestion, and when I went back on, the floppy disc was there, but the only game file there was was the one I had just created, none of the ones that I lost...