"Very Minor General" is not a rank at all, much less an "appropriate" one.
That said, you're talking about the CO of a force of approximately 10,000 soldiers, roughly 1,000 of which are "elite" (for whatever that may mean in this particular organization). A unit that size is normally a division, and would normally be commanded by a major general (and no, the title has no relationship to "minor" anything).
All of this is easily researchable if you have access to the internet - two inquiries to Google provided confirmation of this in a matter of seconds. You might at least try...