Are we dealing with two problems here or one? In the top photo it appears that you are connecting, but are having a syntax error. And then in the third photo, you can't see the DSN.
At least with the 3rd photo, you might have to install your ODBC driver under System. Here is a pic of how I've got my MySQL ODBC setup running.
I assume you have installed it for where the current user (somedomain\serveradmin) can use it, but the AD account QlikSense is running under can't see it.