In the attached version of your file I've created a table on "Sheet1" and called it tblManagerLookup.
Obviously the data in there won't match what you have as I have no idea which AOMs manage which inspectors, but it should serve the purpose of demonstration.
Then in the AOM column of the table on the "Stats View" sheet, I've added the formula below:
This will search the Inspector Name column in the table I added and when it finds the relevant inspector name it will return the corresponding AOM name.
Hopefully that makes some sense, but let me know if it doesn't and I'll try to explain better.
As for the second part of the question, I'm still a bit confused on what the actual ask is. An example workbook showing expected outcome is going to be necessary for that one.
Although if you've been struggling to get them to do it correctly for 13 years then it's either time to find a new system for them to use, or to start firing people for general incompetence! 
BSB
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