Fix 2 Adobe Illustrator files along with explanation on how it was done

I have 2 files (attached) that have transparent backgrounds. When exporting as transparent PNG, etc. everything works great. However, if I try to export them as EPS you will see that the transparency options are greyed out. This only happens to 2 of these files out of 17 that I have, so I don't understand what the problem is. I would like someone to "fix" these files so that the export as EPS works with transparency (so that the options are not greyed out in the AI export settings) and then explain to me how this was done. I have also attached a file called "[login to view URL]" which is an example of a file that works correctly. I need the other 2 to work like this one. Thanks very much! Ron