Mavericks (inc. latest update today) - Apple Calendar - Google calendar & phone (HTC One SV) - duplicates and disappearances...

Question

Hi.
Since upgrading to Mavericks (inc. latest update today), a perfectly harmonious environment of Entourage > Apple Calendar > Gmail > Android phone has fallen apart. I understand that this is down to Apple removing local sync services in the Mavericks 'upgrade', so I am now manually 'syncing' Entourage calendar events to Apple Calendar (Version 7.0 (1835.1)) by copying/dragging them across teh Calendar and syncing to Android via Gmail account.
Now, events in Apple Calendar are being duplicated - even if I create them in Apple Calendar.
And, when I delete one of the duplicated entries in Apple Calendar, both disappear from Google calendar and Android phone - and then the other in Apple Calendar.
This does not happen with all events, but I cannot figure out:
a) why duplicates are appearing and disappearing for some events, or;
b) what differs between the events that duplicate and those that do not.
Also 'in the mix', is a couple of third party apps that I think i should mention:
1. SyncMate - which I used successfully to sync my Android and iMac 2yrs and decided to uninstall post-Mavericks 'upgrade', and;
2. BusyCal, which I installed to trial as a fix post Mavericks 'upgrade' and uninstalled.
Both thrid party apps refuse to compeltely uninstall. I have gone through forums and trawled through Libraries to manuallly remove all residue of these apps, but they still pop up and prompt from time to time.
I mention the last bit regarding SyncMate and BusyCal, in case their residues are the cause of the Calendar duplications issue originally posted.
Can anyone please shed some light on a fix to both problems? I am dirty as all **** on Apple for the undocumented changes in the Mavericks 'upgrade' and am very close to going back to Windows (my iMac is an Intel model).
Ed.

Answer 1

Thanks Eric.
I have pasted the Etrecheck output at the foot of this post.
Something I tested earlier that had an intersting outcome..... I created two test events; one in 'iCal' and one in Google Calendar. The latter quickly sync'd and created duplicate entries in 'iCal', but kep tto singel instacnes in Google and Android. The event created in 'iCal' did not duplicate and sync'd properly a single instance to both Googe Calendar and my Android. Neither tests created duplicates on the Android phone.
Here's that data:
Hardware Information:
          iMac (21.5-inch, Mid 2011)
          iMac - model: iMac12,1
          1 2.7 GHz Intel Core i5 CPU: 4 cores
          4 GB RAM
Video Information:
          AMD Radeon HD 6770M - VRAM: 512 MB
Audio Plug-ins:
          BluetoothAudioPlugIn: Version: 1.0 - SDK 10.9
          AirPlay: Version: 1.9 - SDK 10.9
          AppleAVBAudio: Version: 2.0.0 - SDK 10.9
          iSightAudio: Version: 7.7.3 - SDK 10.9
Startup Items:
          VirtualBox: Path: /Library/StartupItems/VirtualBox
System Software:
          OS X 10.9.1 (13B42) - Uptime: 0 days 3:35:38
Disk Information:
          ST31000528AS disk0 : (1 TB)
                    EFI (disk0s1) <not mounted>: 209.7 MB
                    Macintosh HD (disk0s2) /: 999.35 GB (245.94 GB free)
                    Recovery HD (disk0s3) <not mounted>: 650 MB
          OPTIARC DVD RW AD-5680H
USB Information:
          Apple Inc. FaceTime HD Camera (Built-in)
          Apple Inc. BRCM2046 Hub
                    Apple Inc. Bluetooth USB Host Controller
          Apple Internal Memory Card Reader
          Apple Computer, Inc. IR Receiver
FireWire Information:
Thunderbolt Information:
          Apple Inc. thunderbolt_bus
Kernel Extensions:
          org.virtualbox.kext.VBoxDrv          (4.2.12)
          org.virtualbox.kext.VBoxUSB          (4.2.12)
          com.eltima.SyncMate.kext          (0.2.5b15)
Problem System Launch Daemons:
Problem System Launch Agents:
Launch Daemons:
          [loaded] com.adobe.fpsaud.plist
          [loaded] com.syniumsoftware.CleanAppDaemon.plist
          [loaded] rapiback.plist
Launch Agents:
          [loaded] com.brother.LOGINserver.plist
          [loaded] syncmateStarter.plist
User Launch Agents:
          [loaded] com.adobe.ARM.[...].plist
          [loaded] com.akamai.single-user-client.plist
          [failed] com.apple.CSConfigDotMacCert-[redacted]@me.com-SharedServices.Agent.plist
          [loaded] com.google.keystone.agent.plist
          [loaded] com.vemedio.Snowtape.RadioAgent.plist
          [not loaded] org.virtualbox.vboxwebsrv.plist
User Login Items:
          Microsoft Database Daemon
          Adobe Acrobat Professional
          AdobeResourceSynchronizer
          TwonkyMediaServer
          TwonkyStarter
          TwonkyServer
          TuneSync Server
          TuneupMyMac
          Calendar
3rd Party Preference Panes:
          Akamai NetSession Preferences
          Flash Player
          FUSE for OS X (OSXFUSE)
          MacFUSE
          NTFS-3G
Internet Plug-ins::
          JavaAppletPlugin: Version: 14.9.0 - SDK 10.7 Outdated! Update
          FlashPlayer-10.6: Version: 11.9.900.170 - SDK 10.6
          Default Browser: Version: 537 - SDK 10.9
          AdobePDFViewerNPAPI: Version: 10.1.8
          AdobePDFViewer: Version: 10.1.8
          Flash Player: Version: 11.9.900.170 - SDK 10.6
          QuickTime Plugin: Version: 7.7.3
          OfficeLiveBrowserPlugin: Version: 12.3.6
          Silverlight: Version: 5.1.10411.0 - SDK 10.6
          iPhotoPhotocast: Version: 7.0 - SDK 10.8
User Internet Plug-ins::
          Google Earth Web Plug-in: Version: 7.1
Bad Fonts:
          None
Old applications:
          Aimersoft Helper Compact:          Version: 2.2.6.4 - SDK 10.5
                    /Users/edwardrolfe/Library/Application Support/Helper/Aimersoft Helper Compact.app
          BrFirmDataProvider:          Version: 1.0.4 - SDK 10.4
                    /Applications/Brother/Utilities/Firmware Update Tool/BrMain/resources/BrFirmDataProvider.app
          Device Selector:          Version: 1.5.5 - SDK 10.5
                    /Library/Printers/Brother/Utilities/DeviceSelector/DeviceSelector.app
          Microsoft AutoUpdate:          Version: 2.3.6 - SDK 10.4
                    /Library/Application Support/Microsoft/MAU2.0/Microsoft AutoUpdate.app
          Microsoft Error Reporting:          Version: 2.2.9 - SDK 10.4
                    /Library/Application Support/Microsoft/MERP2.0/Microsoft Error Reporting.app
          Microsoft Ship Asserts:          Version: 1.1.4 - SDK 10.4
                    /Library/Application Support/Microsoft/MERP2.0/Microsoft Ship Asserts.app
          NETserver:          Version: 1.1.6 - SDK 10.4
                    /Library/Printers/Brother/Utilities/Server/NETserver.app
          RemoteSetup:          Version: 3.0.9 - SDK 10.4
                    /Library/Printers/Brother/Utilities/RemoteSetup.app
          SLLauncher:          Version: 1.0 - SDK 10.5
                    /Library/Application Support/Microsoft/Silverlight/OutOfBrowser/SLLauncher.app
          USBserver:          Version: 1.1.0 - SDK 10.5
                    /Library/Printers/Brother/Utilities/Server/USBserver.app
          Wondershare Helper Compact:          Version: 2.2.6.4 - SDK 10.5
                    /Users/edwardrolfe/Library/Application Support/Helper/Wondershare Helper Compact.app
Time Machine:
          Skip System Files: NO
          Mobile backups: OFF
          Auto backup: NO
          Volumes being backed up:
                    Macintosh HD: Disk size: 930.71 GB Disk used: 701.67 GB
          Destinations:
                    FreeAgent Drive [Local] (Last used)
                    Total size: 0 B
                    Total number of backups: (null)
                    Size of backup disk: Too small
                              Backup size 0 B < (Disk used 701.67 GB X 3)
          Time Machine details may not be accurate.
          All volumes being backed up may not be listed.
Top Processes by CPU:
              11%          firefox
               6%          WindowServer
               3%          plugin-container
               1%          EtreCheck
               0%          Dock
Top Processes by Memory:
          422 MB          firefox
          188 MB          Finder
          147 MB          WindowServer
          147 MB          com.apple.IconServicesAgent
          119 MB          Microsoft Excel
Virtual Memory Statistics:
          347 MB          Free RAM
          1.57 GB          Active RAM
          1.26 GB          Inactive RAM
          818 MB          Wired RAM
          659 MB          Page-ins
          4 MB          Page-outs