Hi, I have seen your request and i understand what is you want , you want remove all malware then update your Joomla site and all extension to latest version .Can we discuss more so i can check your request and your live site
I'm very family with Joomla, working with it from version 1.0 , So i'm sure I can done your job. give me a chance to prove it with you .
some upgrade joomla project complete:
https://www.freelancer.com/projects/Joomla/Joomla-Website-update-from.html
https://www.freelancer.com/projects/Joomla-Upgrade-from.5339348.html
https://www.freelancer.com/projects/PHP-Software-Architecture/Upgrade-Joomla-from.html
https://www.freelancer.com/projects/PHP-Website-Design/Website-Upgrades-Joomla-Responsive.html
https://www.freelancer.com/projects/PHP-HTML.1/Migrate-Rocketheme-template.html
https://www.freelancer.com/projects/PHP-Website-Design/Upgrade-joomla-template.html
Thanks