I think there might be a nomenclature issue here.
A volume group is an AIX Logical Volume Manager term for a collection of physical disks.
A volume (in TSM) is either a file, tape, or optical disk used to store data.
A volume can be unavailable in TSM due to an issue with a filesystem.
It seems like you have a major OS-level issue if you can't create files over 2GB in size (are you using JFS instead of JFS2)? The error message from TSM appears to indicate that the file has been truncated. It might make sense to review your backups to see if the file was larger at a previous point in time, and consider restoring that.