First thing you should do is add reset_rows()
between the first repeater loop and the second.
The second thing is that your query should look like this
$args = array(
'post_type' => 'post',
'tax_query' => array(
array(
'taxonomy' => $term->taxonomy,
'terms' => array($term_id);
)
),
'posts_per_page' => 5,
'orderby' => 'date',
'order' => 'ASC',
);
https://codex.wordpress.org/Class_Reference/WP_Query#Taxonomy_Parameters