I reinstalled Acrobat 5 to run it under wine. It didn't work. The reason appeared to be again a plugin: DocBox.api. After removing it everything went smoothly. Already before (using RedHat 9) I have had trouble with a Acrobat plugin (it was WebPDF.api at that time). Most manipulation of pdf files can be easily done with Linux tools, but one thing is tricky: cropping already existing pdf files. That's why I need Acrobat.
Adobe Illustrator didn't want to start up under wine, because it couldn't find the file AI90Res.dll. This file is located after the Illustrator install in:
~/.cxoffice/dotwine/fake_windows/Program Files/Adobe/Illustrator 10/Support Files/Contents/Windows/System
I just moved it up one directory and everything started working.