The sperate components of MooD have a unique install and uninstall priority, BA first and then BIE and AE 2nd. Uninstalling follows this order in reverse, first BIE or Ae and then BA.
If this sequence is broken it can cause registry issues.
In the first instance I would uninstall all 16 components (in the correct order) and then proceed to delete everything 16 related in the program files folder:
Please then attempt to reinstall BA.
The server roles required are below:
run command line 'as administrator' and cd to the MooD install folder location.
Then run the command msiexec.exe /i Data.msi /liwearuimopvx setup.log in the command line: