Try to install patchset 10.2.0.4
Try update by running setup.exe and by GridControl (10.2.0.5) . Always error was:
Exception java.lang.NoSuchFieldError: numFailListEntries occurred..
java.lang.NoSuchFieldError: numFailListEntries
at oracle.sysman.oii.oiip.osd.win32.OiipwWin32NativeCalls.ssntSetPermissionsw32(Native Method)
at oracle.sysman.oii.oiix.OiixWinSecurityOps.setPermissions(OiixWinSecurityOps.java:72)
at oracle.sysman.oii.oiif.oiifw.OiifwHomeSetupWCCE.doOperation(OiifwHomeSetupWCCE.java:103)
at oracle.sysman.oii.oiif.oiifb.OiifbCondIterator.iterate(OiifbCondIterator.java:171)
at oracle.sysman.oii.oiif.oiifw.OiifwInstallPhaseWCCE.doOperation(OiifwInstallPhaseWCCE.java:611)
at oracle.sysman.oii.oiif.oiifb.OiifbCondIterator.iterate(OiifbCondIterator.java:171)
at oracle.sysman.oii.oiif.oiifw.OiifwActionsPhaseWCDE.doOperation(OiifwActionsPhaseWCDE.java:607)