1. Open a file manager, navigate to the parent folder of the file or folder to check, right-click the file and select the permissions tab, as Leiche said
2. open a terminal and type "ls -al /home/" without the quotes, or whatever directory's contents you wish to check.
All files in /home should be owned by you and writeable by the owner unless you have specified otherwise for a particular file.
Unix file permissions are well-documented and a Google search should bring plenty of explanation of how they work.
My guess is that in installing 2010 your user ID has changed and you have restored your /home from a backup with your old UID. If that is the case, the simplest fix is to delete your user and remake it with the correct UID for your files.