Ok - now I installed the latest patch:
www.pokeroffice.com/update.exe, made a restart and the problems still exist: AVG find the "trojaner" named InjLib.dll in the PO\bin-folder and the "Backdoor Agent" pnthandler.dll - PO do not open.
Then I open the control panel of AVG and turned off the resident shield (thanks to Molinero!). Now pokeroffice work without Problems. I turn on the resident shield again and PO still works...
Now I can use PO again but turn off the resident shield every time when I start PO is not a good way...
So please look if you can fix the problem. Thanks!