All right, now we have something to work with :)
You still have your backup files. They are most likely stored in your site's administrator/components/com_akeeba/backup directory – unless you changed the Output Directory. Move the lastest of those files to your site's root (where you can see index.php and the administrator, components, ... directories). Upload kickstart.php to your site's root and rename your .htaccess to htaccess.old. Now run kickstart, e.g. http://www.example.com/kickstart.php to start the restoration. Take a look at the Quick Start Guide for step-by-step instructions on the restoration.
If this doesn't help, you will have to follow the post-restoration basic troubleshooting instructions
If you still have a problem, I will need you to supply all the necessary information you skipped in your initial post:
Joomla! version: (unknown)
PHP version: (unknown)
MySQL version: (unknown)
Host: (optional, but it helps us help you)
Akeeba Backup version which took the backup: (unknown)
Kickstart version used to extract the backup: (unknown)
Nicholas K. Dionysopoulos
Lead Developer and Director
🇬🇷Greek: native 🇬🇧English: excellent 🇫🇷French: basic • 🕐 My time zone is Europe / Athens
Please keep in mind my timezone and cultural differences when reading my replies. Thank you!