jQuery drop down not appearing for autocomplete/autosuggest

I would use .ajax() instead of .suggest() in your jQuery.

jQuery.ajax({
    type : "post",
    url : myAjax.ajaxurl,
    data : {
        action: 'se_lookup',
    },
    success: function( result ) {
        console.log(result);
    }
});

You should now receive the values back from the SQL.