I don't know what the CLASS variable is for. Having it probably will not hurt anything.
But it is needed for the
path to the javac.exe folder to be on the PATH variable so the OS can find the javac.exe program.
on the AndroidWorkshop account, it did not recognize, or could not find the JDK
I assume you are referring to the javac.exe program.
That is because the path to the javac.exe file was not on the PATH variable. What you posted shows the path is missing from the PATH variable.
What is shown for the SET command on the Administrator's account?