Hi
All JA Extension are updated via JA Extension manager component . Follow this : Go to components > JA Extension manager > Services > Joomlart updates > configure it with your JA Account username password . Now set the update as default .
After saving click on modules in the left-hand sides > click on check for updates > update module .
For the error in JA T3 plugin , you have no need to enable this plugin , because of it for older templates . JA Argo used the latest T3 framework . Only publish T3 plugin .
Do not forget to take the full backup of the site before updating Joomla or extensions and save your custom changes.