Right next to your name on this site at the top of the screen, you will see "my FA".
Hold your mouse cursor on it, and it'll drop a window down where you will see "page management". Then another window will plop from that when you hold your mouse over it.
When that has been accomplished, click on "page shouts".
Are you hitting the 'nuke messages' button or trying to delete them one by one? I remember when I tried to nuke them all at once in the past, some messages would remain, but manually selecting the boxes or hitting "select all" seemed to fix the issue.
You will see the ability to manage your page shouts, and delete them too.
Hold your mouse cursor on it, and it'll drop a window down where you will see "page management". Then another window will plop from that when you hold your mouse over it.
When that has been accomplished, click on "page shouts".
Hope this helps =)
Maybe changing the interface/theme?
Write a Trouble Ticket to the FA staff if you still have that problem.
My FA > Account Management > Account Settings >
In that page go to the sub title Site Layout/Theme, and you can change Template from "Modern" to "Classic", see if that helps you solve the problem.