Ok, what a pitty. So I cannot use my Pages docs written on my Macbook also on the Desktop machine.
I tried anew to update Pages 4.1 to 4.3 - update worked, but launching Pages I get:
Process: Pages [352]
Path: /Applications/iWork '09/Pages.app/Contents/MacOS/Pages
Identifier: com.apple.iWork.Pages
Version: 4.3 (1048)
Build Info: Pages-10480000~1
Code Type: X86 (Native)
Parent Process: launchd [252]
Date/Time: 2014-01-21 13:19:57.181 +0100
OS Version: Mac OS X 10.7.5 (11G63)
Report Version: 9
Interval Since Last Report: 10666522 sec
Crashes Since Last Report: 214
Per-App Crashes Since Last Report: 10
Anonymous UUID: 925EE652-D8CB-4BC6-8455-C7E6B8C5A8D2
Crashed Thread: 0
Exception Type: EXC_BREAKPOINT (SIGTRAP)
Exception Codes: 0x0000000000000002, 0x0000000000000000
Application Specific Information:
dyld: launch, loading dependent libraries
Dyld Error Message:
Symbol not found: _kSFAppExportDocumentFormatSpecificDocumentTypeKey
Referenced from: /Applications/iWork '09/Pages.app/Contents/MacOS/Pages
Expected in: /Applications/iWork '09/Pages.app/Contents/MacOS/../Frameworks/SFApplication.framework/Versions/A/S FApplication
in /Applications/iWork '09/Pages.app/Contents/MacOS/Pages