This committee is free to do those things. It historically has not initiated large investigations of any sort. Indeed, to do so would largely duplicate the work the Auditor General has done.
The role of this committee, and its contribution separate from the Auditor General, is to act as a forum for the discussion of the Auditor General's findings. It's a chance for different parties, from the public service and elsewhere, to give their version and to have their say. To have it examined in a parliamentary setting like this, in a public forum--that's something the Auditor General can't do.
So the committee is free to do its own investigations. However, I think that quite often would duplicate the role of the Auditor General.