Hello,
With FAQ problem. The table ves_faq_question are missing column “customer_id”. Maybe when you update the FAQ module in your site, it don’t add the column (the column was included in module version 1.0.0)
Please try to run the sql query in your phpmyadmin:
 
ALTER TABLE `ves_faq_question` ADD COLUMN `customer_id` int(11) NOT NULL DEFAULT ‘0’;
 
– About the megamenu you should config it for correct store views. I think you were setting megamenu for store views in admin  different frontend store views.
 
– About the session admin login. Did you login on chrome or firefox? The theme don’t change session information.