Cool,glad you got the refund. 
Ok,I have access to Spybot right now.I don't seem to have a bdcore.dll.upd file anywhere that I can find,but that doesn't mean that bdcore.dll.upd is not legit.It might be there in your folder for some reason,so you might not want to delete it.
bdcore.dll 1.1.0.1.12 should be the newest version.
I see from your logfile there were some problems retrieving the update info file the other day:
I'm not so sure that's related to antivirus updates,though.
Do you use Spybot's proxy?

Ok,I have access to Spybot right now.I don't seem to have a bdcore.dll.upd file anywhere that I can find,but that doesn't mean that bdcore.dll.upd is not legit.It might be there in your folder for some reason,so you might not want to delete it.
bdcore.dll 1.1.0.1.12 should be the newest version.
I see from your logfile there were some problems retrieving the update info file the other day:
14-05-26 06:53:13 THttpUpdateDaemon Successfully started listening on port 21321.
SDUpdSvc.exe [2014-05-26 06:53:42] [+] Updating Service is active.
SDUpdSvc.exe [2014-05-26 06:53:42] Using proxy: localhost:8080
SDUpdSvc.exe [2014-05-26 06:53:42] [.] Trying to retrieve update info file from http://updates1.safer-networking.org/spybotsd2.uid...
SDUpdSvc.exe [2014-05-26 06:53:43] Did not retrieved update info file (attempt 1 of 3).
SDUpdSvc.exe [2014-05-26 06:53:44] [.] Trying to retrieve update info file from http://updates2.safer-networking.org/spybotsd2.uid...
SDUpdSvc.exe [2014-05-26 06:53:45] Did not retrieved update info file (attempt 1 of 3).
SDUpdSvc.exe [2014-05-26 06:53:46] [.] Trying to retrieve update info file from http://updates3.safer-networking.org/spybotsd2.uid...
SDUpdSvc.exe [2014-05-26 06:53:47] Did not retrieved update info file (attempt 1 of 3).
I'm not so sure that's related to antivirus updates,though.
Do you use Spybot's proxy?