Support is required for your ZoneDirector. I am sure can go back and order it from your source. Once you have done that you will need to follow the upgrade path to 9.7 to manage the 7372's.
The 1000 will not be able to manage the 7982's. You will need to upgrade to an 1100. Once you have both on the same ZD you shouldn't have any issues meshing the 7343 with it.
The 1000 will not be able to manage the 7982's. You will need to upgrade to an 1100. Once you have both on the same ZD you shouldn't have any issues meshing the 7343 with it.