Long Sql Query optimization

I have a single sql query that takes down my whole server when there are many people logged in to the site.

i spent all day trying to find out how to fix it with tutorials for indexing but i still can't understand how can i fix this query or if i can at all

This is the query:

SELECT t.id, 
       t.title, 
       t.s_secret, 
       t.content, 
       t.senton, 
       t.hidden, 
       t.reported, 
       t.root_id, 
       t.sender_id, 
       t.s_contact_name, 
       t.s_contact_email, 
       t.item_id, 
       t.status_id, 
       t.event_id, 
       l.id              AS last_id, 
       l.title           AS last_title, 
       l.s_secret        AS last_s_secret, 
       l.content         AS last_content, 
       l.senton          AS last_sentOn, 
       l.hidden          AS last_hidden, 
       l.reported        AS last_reported, 
       l.root_id         AS last_root_id, 
       l.sender_id       AS last_sender_id, 
       l.s_contact_name  AS last_s_contact_name, 
       l.s_contact_email AS last_s_contact_email, 
       l.item_id         AS last_item_id, 
       l.status_id       AS last_status_id, 
       l.event_id        AS last_event_id, 
       last.count        AS t_count 
FROM   oc_t_mmessenger_recipients r 
       JOIN oc_t_mmessenger_message l 
         ON l.id = r.message_id 
       JOIN (SELECT Max(im.id) AS max, 
                    Count(1)   AS count 
             FROM   oc_t_mmessenger_message im 
             GROUP  BY root_id) last 
         ON r.message_id = last.max 
       JOIN oc_t_mmessenger_message t 
         ON t.id = l.root_id 
       JOIN oc_t_mmessenger_message_labels ml 
         ON ( ml.fk_i_message_id = t.id 
              AND ml.fk_i_label_id = 1 
              AND ml.fk_i_user_id = 2569 ) 
WHERE  ( r.recipient_id = 2469 
          OR l.sender_id = 2469 ) 
ORDER  BY last.max DESC 
LIMIT  0, 10 

If i created index through phpmyadmin for tables like recipient_id and sender_id will it help at all? Any tip will be greatly appreciated! Thanks.

Edit:

This is the indexes of current tables:

OK, you have several indexes I was thinking about, so you are not that far away. Now that inner select is killing the performance.

The following index should speed up the inner select:

create index ix1_message on oc_t_mmessenger_message (root_id, id);