Some tests cannot be conducted within a year of originally being done. The results would be statistically invalid.
If you've shared the test results with the school, their staff psychologist (or whomever would be handling this) should know what tests they can or cannot conduct. When I had difficult child 2's neuropsychologist evaluation last Spring, I coordinated the testing between the school and the private practitioner so that there was no overlap or duplication. The private neuropsychologist did end up doing a much more comprehensive evaluation, but the school also wanted to have their role in the process so that's why they did their own testing. I'll be doing the same thing with my difficult child 1 in a few weeks.
I would reassure your difficult child that the testing is not meant to focus on his "bad" behavior, but to help the school figure out what is the best way he learns things so they can make school a more enjoyable place for him to go to every day. He is NOT a "bad" kid. He is a GOOD kid who just needs help making better choices for his behavior so that it doesn't interfere with his learning. He, you and his teaching team can help his situation by making sure he takes his medication, gets enough rest, and has the right environment at school to ensure a successful experience. He needs to know that everyone wants him to be successful and feel good about himself. And that's the whole reason for putting him through these sessions -- so that things can be better.
He's sort of like a building kit that doesn't come with instructions or tools to put it together, and up until now, you had no idea what you were building (is it a house? a boat? a rocket?) or whether to use a screwdriver, a hammer, a saw, or some combination of all three. Everything you are doing is an attempt to figure how to help him "build" himself so that he eventually ends up with something that makes him happy and that doesn't frustrate him or otherwise create roadblocks on the way there.