Stuck in Order by more then one

You’ve got the unnecessary array involved around clauses. The correct code is

'meta_query' => array(
    'relation' => 'AND',
    'awards_clause'   => array( // clause
        'key'     => 'awards',
        'compare' => 'EXISTS',
    ),
    'points_clause'   => array( // clause
        'key'     => 'points',
        'compare' => 'EXISTS',
    ),
),
'orderby'    => array(
    'awards_clause' => 'DESC',
    'points_clause' => 'DESC',
),