Usually the problem is the firewall or antivirus blocking the application.
Please see if the fbackup.exe process is running in Task Manager.
Yes, it's running. I need to use Task manager to close it down since it won't close from the Taskbar where its pinned itself - it will show screen thumbnail below pin, and your icon shows mid-screen while I hover over thumbnail. Then disappears when I click on thumbnail to bring up. Windows 7 asks at beginning if it will allow this software to make changes, I accept.
Reinstalling the application will not affect your settings and jobs. I suspect the layout settings should be overwritten, that is why I'm asking you to close FBackup and rename this folder:
C:\Users\user name\AppData\Roaming\Softland\FBackup 4\
Start again FBackup (it will start with no jobs), see if the application is working fine.
If yes, then open the .fkc catalog files from the backup destination to recreate the backup jobs in FBackup.