This seems like a severe technical or even physical problem with the computer. What operating system are you using? This information can be very important unless it is a boot level problem.
There are many levels it can come to:
(none)- There are no problems '1'
(simple issue)- Cookies or temporary files are set to delete '2'
(browser issue)- The internet browser locks up or does not save files in a game, It may also be the game itself. '3'
(OS issue)- The OS you are using bugs up when trying to save files on all browsers. Use system restore or recovery to fix it. '4'
(Boot issue)- No matter what OS you use, you cannot save files on any browser. '5'
(Severe boot issue)- No matter what OS you use, you cannot save anything even if it isn't on your browser. '6'
(Physical partition issue)- You take the hardrive to a completely different computer, only to have the same issues. '7'
(Total issue)- The entire computer in itself does not boot correctly and deletes the save of your OS. This is a total problem and you may not be able to login to AG at all. '8'